Details

analyze200.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

3×	`*-commutative_binary64_6147`
2×	`associate-l_binary64_6157` `associate-r_binary64_6156`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `log-pow_binary64_6305` `log-rec_binary64_6304` `log-div_binary64_6303` `log-prod_binary64_6302` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `unpow3_binary64_6282` `unpow2_binary64_6281` `unpow1/2_binary64_6280` `pow-plus_binary64_6279` `exp-to-pow_binary64_6278` `pow-base-1_binary64_6276` `unpow0_binary64_6275` `unpow1_binary64_6274` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-lft-sqr_binary64_6271` `exp-cbrt_binary64_6270` `exp-sqrt_binary64_6269` `exp-prod_binary64_6268` `div-exp_binary64_6267` `rec-exp_binary64_6266` `prod-exp_binary64_6265` `exp-diff_binary64_6264` `exp-neg_binary64_6263` `exp-sum_binary64_6262` `e-exp-1_binary64_6261` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-unmult_binary64_6253` `cube-mult_binary64_6246` `cube-div_binary64_6245` `cube-prod_binary64_6244` `cube-neg_binary64_6243` `rem-3cbrt-rft_binary64_6242` `rem-3cbrt-lft_binary64_6241` `rem-cbrt-cube_binary64_6240` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `sqr-neg_binary64_6230` `rem-sqrt-square_binary64_6229` `rem-square-sqrt_binary64_6228` `times-frac_binary64_6222` `div-sub_binary64_6221` `neg-mul-1_binary64_6212` `neg-sub0_binary64_6211` `unsub-neg_binary64_6210` `sub-neg_binary64_6209` `mul-1-neg_binary64_6208` `/-rgt-identity_binary64_6207` `-rgt-identity_binary64_6206` `-lft-identity_binary64_6205` `remove-double-neg_binary64_6204` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-rgt-identity_binary64_6201` `+-lft-identity_binary64_6200` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `div0_binary64_6197` `-inverses_binary64_6196` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `pow-sqr_binary64_6189` `sqr-pow_binary64_6188` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `difference-of-squares_binary64_6185` `unswap-sqr_binary64_6184` `swap-sqr_binary64_6183` `cancel-sign-sub-inv_binary64_6182` `cancel-sign-sub_binary64_6181` `distribute-neg-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-neg-in_binary64_6177` `distribute-rgt-neg-out_binary64_6176` `distribute-lft-neg-out_binary64_6175` `distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173` `distribute-rgt1-in_binary64_6172` `distribute-lft1-in_binary64_6171` `distribute-rgt-out--_binary64_6170` `distribute-rgt-out_binary64_6169` `distribute-lft-out--_binary64_6168` `distribute-lft-out_binary64_6167` `distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `count-2_binary64_6164` `associate-/l/_binary64_6163` `associate-/r/_binary64_6162` `associate-/l_binary64_6161` `associate-/r_binary64_6160` `associate-l/_binary64_6159` `associate-*r/_binary64_6158` `associate--r-_binary64_6155` `associate--l-_binary64_6154` `associate--l+_binary64_6153` `associate--r+_binary64_6152` `associate-+l-_binary64_6151` `associate-+r-_binary64_6150` `associate-+l+_binary64_6149` `associate-+r+_binary64_6148` `+-commutative_binary64_6146`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	13	14
2	15	14
3	15	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_6147`
1×	`associate-l_binary64_6157` `associate-r_binary64_6156`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `log-pow_binary64_6305` `log-rec_binary64_6304` `log-div_binary64_6303` `log-prod_binary64_6302` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `unpow3_binary64_6282` `unpow2_binary64_6281` `unpow1/2_binary64_6280` `pow-plus_binary64_6279` `exp-to-pow_binary64_6278` `pow-base-1_binary64_6276` `unpow0_binary64_6275` `unpow1_binary64_6274` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-lft-sqr_binary64_6271` `exp-cbrt_binary64_6270` `exp-sqrt_binary64_6269` `exp-prod_binary64_6268` `div-exp_binary64_6267` `rec-exp_binary64_6266` `prod-exp_binary64_6265` `exp-diff_binary64_6264` `exp-neg_binary64_6263` `exp-sum_binary64_6262` `e-exp-1_binary64_6261` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-unmult_binary64_6253` `cube-mult_binary64_6246` `cube-div_binary64_6245` `cube-prod_binary64_6244` `cube-neg_binary64_6243` `rem-3cbrt-rft_binary64_6242` `rem-3cbrt-lft_binary64_6241` `rem-cbrt-cube_binary64_6240` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `sqr-neg_binary64_6230` `rem-sqrt-square_binary64_6229` `rem-square-sqrt_binary64_6228` `times-frac_binary64_6222` `div-sub_binary64_6221` `neg-mul-1_binary64_6212` `neg-sub0_binary64_6211` `unsub-neg_binary64_6210` `sub-neg_binary64_6209` `mul-1-neg_binary64_6208` `/-rgt-identity_binary64_6207` `-rgt-identity_binary64_6206` `-lft-identity_binary64_6205` `remove-double-neg_binary64_6204` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-rgt-identity_binary64_6201` `+-lft-identity_binary64_6200` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `div0_binary64_6197` `-inverses_binary64_6196` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `pow-sqr_binary64_6189` `sqr-pow_binary64_6188` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `difference-of-squares_binary64_6185` `unswap-sqr_binary64_6184` `swap-sqr_binary64_6183` `cancel-sign-sub-inv_binary64_6182` `cancel-sign-sub_binary64_6181` `distribute-neg-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-neg-in_binary64_6177` `distribute-rgt-neg-out_binary64_6176` `distribute-lft-neg-out_binary64_6175` `distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173` `distribute-rgt1-in_binary64_6172` `distribute-lft1-in_binary64_6171` `distribute-rgt-out--_binary64_6170` `distribute-rgt-out_binary64_6169` `distribute-lft-out--_binary64_6168` `distribute-lft-out_binary64_6167` `distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `count-2_binary64_6164` `associate-/l/_binary64_6163` `associate-/r/_binary64_6162` `associate-/l_binary64_6161` `associate-/r_binary64_6160` `associate-l/_binary64_6159` `associate-*r/_binary64_6158` `associate--r-_binary64_6155` `associate--l-_binary64_6154` `associate--l+_binary64_6153` `associate--r+_binary64_6152` `associate-+l-_binary64_6151` `associate-+r-_binary64_6150` `associate-+l+_binary64_6149` `associate-+r+_binary64_6148` `+-commutative_binary64_6146`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	10	7
3	10	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x y) y)

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
3×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `associate-r_binary64_6156`
2×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `*-un-lft-identity_binary64_6216`
1×	`add-log-exp_binary64_6255` `associate-l_binary64_6157` `*-commutative_binary64_6147`

Counts

1 → 18

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x y) y)

Compiler

Compiled 184 to 55 computations (70.1% saved)

series86.0ms (3.3%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

82.0ms

(*.f64 (*.f64 x y) y)

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify66.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

373×	`associate-l_binary64_6157`
319×	`unswap-sqr_binary64_6184`
312×	`associate-*r/_binary64_6158`
263×	`associate-*l/_binary64_6159`
242×	`associate-/l*_binary64_6161`
210×	`associate-/l/_binary64_6163`
193×	`log-div_binary64_6303` `cube-div_binary64_6245`
187×	`associate-/r/_binary64_6162`
172×	`associate-r_binary64_6156`
164×	`sqr-pow_binary64_6188`
157×	`distribute-rgt-in_binary64_6166`
152×	`log-prod_binary64_6302`
144×	`exp-prod_binary64_6268` `*-commutative_binary64_6147`
143×	`distribute-lft-in_binary64_6165`
103×	`associate-/r*_binary64_6160`
83×	`associate-+l+_binary64_6149`
62×	`pow-sqr_binary64_6189` `associate-+r+_binary64_6148`
61×	`times-frac_binary64_6222`
50×	`cube-prod_binary64_6244`
45×	`+-commutative_binary64_6146`
27×	`unpow3_binary64_6282` `exp-sqrt_binary64_6269`
24×	`cube-mult_binary64_6246`
23×	`rem-sqrt-square_binary64_6229`
19×	`log-pow_binary64_6305` `pow-plus_binary64_6279`
18×	`swap-sqr_binary64_6183` `distribute-lft-out_binary64_6167`
17×	`*-rgt-identity_binary64_6206` `distribute-rgt-out_binary64_6169`
16×	`*-lft-identity_binary64_6205`
10×	`unpow1/2_binary64_6280`
9×	`count-2_binary64_6164`
6×	`exp-lft-sqr_binary64_6271` `cube-unmult_binary64_6253`
4×	`distribute-rgt1-in_binary64_6172`
3×	`unpow2_binary64_6281` `distribute-lft1-in_binary64_6171`
2×	`log-rec_binary64_6304`
1×	`unpow1_binary64_6274` `prod-exp_binary64_6265` `1-exp_binary64_6260` `exp-1-e_binary64_6259`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `exp-to-pow_binary64_6278` `pow-base-1_binary64_6276` `unpow0_binary64_6275` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-cbrt_binary64_6270` `div-exp_binary64_6267` `rec-exp_binary64_6266` `exp-diff_binary64_6264` `exp-neg_binary64_6263` `exp-sum_binary64_6262` `e-exp-1_binary64_6261` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-neg_binary64_6243` `rem-3cbrt-rft_binary64_6242` `rem-3cbrt-lft_binary64_6241` `rem-cbrt-cube_binary64_6240` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `sqr-neg_binary64_6230` `rem-square-sqrt_binary64_6228` `div-sub_binary64_6221` `neg-mul-1_binary64_6212` `neg-sub0_binary64_6211` `unsub-neg_binary64_6210` `sub-neg_binary64_6209` `mul-1-neg_binary64_6208` `/-rgt-identity_binary64_6207` `remove-double-neg_binary64_6204` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-rgt-identity_binary64_6201` `+-lft-identity_binary64_6200` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `div0_binary64_6197` `*-inverses_binary64_6196` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `difference-of-squares_binary64_6185` `cancel-sign-sub-inv_binary64_6182` `cancel-sign-sub_binary64_6181` `distribute-neg-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-neg-in_binary64_6177` `distribute-rgt-neg-out_binary64_6176` `distribute-lft-neg-out_binary64_6175` `distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173` `distribute-rgt-out--_binary64_6170` `distribute-lft-out--_binary64_6168` `associate--r-_binary64_6155` `associate--l-_binary64_6154` `associate--l+_binary64_6153` `associate--r+_binary64_6152` `associate-+l-_binary64_6151` `associate-+r-_binary64_6150`

Counts

24 → 19

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	245
1	93	200
2	298	200
3	590	198
4	875	198
5	1700	198
6	4160	198
7	5057	198

prune13.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	16	3	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	4	20

Error

0.1b

Counts

20 → 4

Compiler

Compiled 163 to 51 computations (68.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.1b

(*.f64 x (*.f64 y y))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
3×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `add-sqr-sqrt_binary64_6238` `associate-l_binary64_6157`
2×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
1×	`add-log-exp_binary64_6255` `unswap-sqr_binary64_6184` `associate-r_binary64_6156` `*-commutative_binary64_6147`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 x (*.f64 y y))

Compiler

Compiled 193 to 56 computations (71% saved)

series88.0ms (3.3%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

83.0ms

(*.f64 x (*.f64 y y))

Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify69.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

690×	`associate-/l/_binary64_6163`
564×	`associate-/r/_binary64_6162`
350×	`distribute-rgt-in_binary64_6166`
330×	`unswap-sqr_binary64_6184`
315×	`distribute-lft-in_binary64_6165`
255×	`*-commutative_binary64_6147`
209×	`log-prod_binary64_6302`
204×	`associate-l_binary64_6157`
192×	`sqr-pow_binary64_6188`
152×	`times-frac_binary64_6222`
138×	`associate-r_binary64_6156`
117×	`associate-/l*_binary64_6161`
116×	`associate-+l+_binary64_6149`
87×	`pow-sqr_binary64_6189`
73×	`associate-+r+_binary64_6148`
58×	`distribute-rgt-out_binary64_6169`
53×	`exp-prod_binary64_6268`
48×	`associate-/r*_binary64_6160`
43×	`log-div_binary64_6303`
42×	`cube-prod_binary64_6244`
40×	`associate-*r/_binary64_6158`
27×	`log-pow_binary64_6305`
26×	`distribute-lft-out_binary64_6167`
20×	`associate-*l/_binary64_6159`
19×	`count-2_binary64_6164`
18×	`unpow3_binary64_6282`
17×	`pow-plus_binary64_6279` `*-lft-identity_binary64_6205`
16×	`+-commutative_binary64_6146`
14×	`cube-mult_binary64_6246`
10×	`*-rgt-identity_binary64_6206`
9×	`distribute-rgt1-in_binary64_6172`
8×	`swap-sqr_binary64_6183`
7×	`cube-unmult_binary64_6253`
5×	`/-rgt-identity_binary64_6207` `distribute-lft1-in_binary64_6171`
3×	`unpow2_binary64_6281`
1×	`unpow1/2_binary64_6280` `unpow1_binary64_6274` `1-exp_binary64_6260` `rem-sqrt-square_binary64_6229`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `log-rec_binary64_6304` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `exp-to-pow_binary64_6278` `pow-base-1_binary64_6276` `unpow0_binary64_6275` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-lft-sqr_binary64_6271` `exp-cbrt_binary64_6270` `exp-sqrt_binary64_6269` `div-exp_binary64_6267` `rec-exp_binary64_6266` `prod-exp_binary64_6265` `exp-diff_binary64_6264` `exp-neg_binary64_6263` `exp-sum_binary64_6262` `e-exp-1_binary64_6261` `exp-1-e_binary64_6259` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-div_binary64_6245` `cube-neg_binary64_6243` `rem-3cbrt-rft_binary64_6242` `rem-3cbrt-lft_binary64_6241` `rem-cbrt-cube_binary64_6240` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `sqr-neg_binary64_6230` `rem-square-sqrt_binary64_6228` `div-sub_binary64_6221` `neg-mul-1_binary64_6212` `neg-sub0_binary64_6211` `unsub-neg_binary64_6210` `sub-neg_binary64_6209` `mul-1-neg_binary64_6208` `remove-double-neg_binary64_6204` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-rgt-identity_binary64_6201` `+-lft-identity_binary64_6200` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `div0_binary64_6197` `*-inverses_binary64_6196` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `difference-of-squares_binary64_6185` `cancel-sign-sub-inv_binary64_6182` `cancel-sign-sub_binary64_6181` `distribute-neg-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-neg-in_binary64_6177` `distribute-rgt-neg-out_binary64_6176` `distribute-lft-neg-out_binary64_6175` `distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173` `distribute-rgt-out--_binary64_6170` `distribute-lft-out--_binary64_6168` `associate--r-_binary64_6155` `associate--l-_binary64_6154` `associate--l+_binary64_6153` `associate--r+_binary64_6152` `associate-+l-_binary64_6151` `associate-+r-_binary64_6150`

Counts

25 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	255
1	75	210
2	190	210
3	428	210
4	666	210
5	1218	210
6	2094	210
7	4843	210
8	5061	210

prune12.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	11	7	18

Error

0.0b

Counts

18 → 7

Compiler

Compiled 144 to 56 computations (61.1% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.2b	(.f64 (.f64 y y) (cbrt.f64 x))
7.0b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 y y) (cbrt.f64 x)))

rewrite90.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`pow1_binary64_6277` `add-exp-log_binary64_6254`
18×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `add-cbrt-cube_binary64_6252` `cbrt-unprod_binary64_6249`
10×	`add-sqr-sqrt_binary64_6238` `cbrt-prod_binary64_6247`
8×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
7×	`associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255`
2×	`associate-l_binary64_6157` `*-commutative_binary64_6147` `unswap-sqr_binary64_6184` `pow1/3_binary64_6298`

Counts

4 → 73

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 y y) (cbrt.f64 x)))
8.0ms	(.f64 (.f64 y y) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1296 to 227 computations (82.5% saved)

series601.0ms (22.9%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

261.0ms	(.f64 (.f64 y y) (cbrt.f64 x))
111.0ms	(cbrt.f64 x)
109.0ms	(cbrt.f64 x)
108.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 y y) (cbrt.f64 x)))

Compiler

Compiled 624 to 438 computations (29.8% saved)

simplify80.0ms (3%)

Algorithm

1×	egg-herbie

Rules

369×	`exp-prod_binary64_6268`
359×	`log-prod_binary64_6302`
327×	`cube-prod_binary64_6244`
310×	`sqr-pow_binary64_6188`
309×	`*-commutative_binary64_6147`
226×	`unswap-sqr_binary64_6184`
217×	`neg-sub0_binary64_6211`
208×	`neg-mul-1_binary64_6212`
192×	`associate-l_binary64_6157`
170×	`associate-r_binary64_6156`
161×	`associate-+l+_binary64_6149`
160×	`unsub-neg_binary64_6210`
132×	`distribute-rgt-neg-in_binary64_6174`
117×	`associate-+r+_binary64_6148`
115×	`distribute-lft-neg-in_binary64_6173`
97×	`pow-sqr_binary64_6189`
89×	`distribute-lft-neg-out_binary64_6175`
86×	`distribute-rgt-neg-out_binary64_6176`
67×	`associate-/l*_binary64_6161`
50×	`sqr-neg_binary64_6230` `swap-sqr_binary64_6183`
49×	`distribute-rgt-in_binary64_6166`
46×	`distribute-lft-in_binary64_6165`
45×	`unpow3_binary64_6282`
39×	`cancel-sign-sub-inv_binary64_6182`
35×	`cube-mult_binary64_6246` `div-sub_binary64_6221`
32×	`associate-/r*_binary64_6160`
29×	`times-frac_binary64_6222` `sub-neg_binary64_6209`
21×	`mul0-rgt_binary64_6199` `mul0-lft_binary64_6198`
20×	`remove-double-neg_binary64_6204`
19×	`rem-sqrt-square_binary64_6229`
18×	`exp-diff_binary64_6264` `cube-neg_binary64_6243`
17×	`*-rgt-identity_binary64_6206`
16×	`exp-sum_binary64_6262` `cube-unmult_binary64_6253`
14×	`log-pow_binary64_6305` `+-commutative_binary64_6146`
13×	`pow-plus_binary64_6279`
12×	`*-lft-identity_binary64_6205`
11×	`associate-/l/_binary64_6163` `associate-*r/_binary64_6158`
10×	`distribute-lft-out_binary64_6167`
9×	`associate-/r/_binary64_6162`
8×	`count-2_binary64_6164`
6×	`unpow1/2_binary64_6280` `distribute-rgt-out_binary64_6169`
4×	`mul-1-neg_binary64_6208`
2×	`unpow1/3_binary64_6283` `unpow2_binary64_6281` `exp-neg_binary64_6263` `distribute-frac-neg_binary64_6179`
1×	`unpow1_binary64_6274` `1-exp_binary64_6260` `exp-1-e_binary64_6259` `rem-3cbrt-lft_binary64_6241` `rem-cube-cbrt_binary64_6239` `/-rgt-identity_binary64_6207` `div0_binary64_6197`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `log-rec_binary64_6304` `log-div_binary64_6303` `pow-base-0_binary64_6300` `exp-to-pow_binary64_6278` `pow-base-1_binary64_6276` `unpow0_binary64_6275` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-lft-sqr_binary64_6271` `exp-cbrt_binary64_6270` `exp-sqrt_binary64_6269` `div-exp_binary64_6267` `rec-exp_binary64_6266` `prod-exp_binary64_6265` `e-exp-1_binary64_6261` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-div_binary64_6245` `rem-3cbrt-rft_binary64_6242` `rem-cbrt-cube_binary64_6240` `sqr-abs_binary64_6231` `rem-square-sqrt_binary64_6228` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-rgt-identity_binary64_6201` `+-lft-identity_binary64_6200` `-inverses_binary64_6196` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `difference-of-squares_binary64_6185` `cancel-sign-sub_binary64_6181` `distribute-neg-frac_binary64_6180` `distribute-neg-out_binary64_6178` `distribute-neg-in_binary64_6177` `distribute-rgt1-in_binary64_6172` `distribute-lft1-in_binary64_6171` `distribute-rgt-out--_binary64_6170` `distribute-lft-out--_binary64_6168` `associate-l/_binary64_6159` `associate--r-_binary64_6155` `associate--l-_binary64_6154` `associate--l+_binary64_6153` `associate--r+_binary64_6152` `associate-+l-_binary64_6151` `associate-+r-_binary64_6150`

Counts

91 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1280
1	205	768
2	748	755
3	1486	755
4	3240	755
5	4883	755

prune38.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	57	7	64

Error

0.0b

Counts

64 → 7

Compiler

Compiled 634 to 158 computations (75.1% saved)

localize4.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 y (sqrt.f64 x))
0.1b	(*.f64 y (sqrt.f64 x))
0.2b	(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))

rewrite78.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

46×	`pow1_binary64_6277`
19×	`pow-prod-down_binary64_6287` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
17×	`add-sqr-sqrt_binary64_6238`
13×	`associate-r_binary64_6156`
10×	`prod-exp_binary64_6265` `cbrt-unprod_binary64_6249`
9×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
8×	`sqrt-prod_binary64_6232`
7×	`associate-l_binary64_6157`
4×	`pow-prod-up_binary64_6286` `pow-sqr_binary64_6189` `unswap-sqr_binary64_6184`
3×	`add-log-exp_binary64_6255` `*-commutative_binary64_6147`
2×	`pow-plus_binary64_6279`
1×	`pow2_binary64_6297` `swap-sqr_binary64_6183`

Counts

3 → 78

Calls

3 calls:

9.0ms	(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
6.0ms	(*.f64 y (sqrt.f64 x))
6.0ms	(*.f64 y (sqrt.f64 x))

Compiler

Compiled 1097 to 206 computations (81.2% saved)

series237.0ms (9%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

78.0ms	(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
76.0ms	(*.f64 y (sqrt.f64 x))
74.0ms	(*.f64 y (sqrt.f64 x))

Compiler

Compiled 478 to 303 computations (36.6% saved)

simplify115.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

579×	`unswap-sqr_binary64_6184`
543×	`distribute-rgt-in_binary64_6166`
499×	`distribute-lft-in_binary64_6165`
318×	`log-div_binary64_6303`
276×	`associate-+l+_binary64_6149`
237×	`*-commutative_binary64_6147`
232×	`log-prod_binary64_6302`
224×	`associate-/l*_binary64_6161`
218×	`associate-/l/_binary64_6163`
210×	`sqr-pow_binary64_6188`
195×	`exp-prod_binary64_6268`
180×	`associate-/r/_binary64_6162`
155×	`associate-+r+_binary64_6148`
117×	`associate-l_binary64_6157`
113×	`cube-prod_binary64_6244`
104×	`associate-r_binary64_6156`
100×	`cube-div_binary64_6245`
90×	`swap-sqr_binary64_6183`
86×	`pow-sqr_binary64_6189`
63×	`associate-/r*_binary64_6160`
50×	`times-frac_binary64_6222`
33×	`associate-*r/_binary64_6158`
28×	`distribute-rgt-out_binary64_6169` `distribute-lft-out_binary64_6167`
25×	`rem-sqrt-square_binary64_6229`
19×	`+-commutative_binary64_6146`
18×	`log-rec_binary64_6304` `unpow3_binary64_6282` `exp-sqrt_binary64_6269` `-rgt-identity_binary64_6206` `-lft-identity_binary64_6205`
14×	`cube-mult_binary64_6246`
13×	`log-pow_binary64_6305`
12×	`unpow1/2_binary64_6280` `pow-plus_binary64_6279`
11×	`exp-lft-sqr_binary64_6271`
9×	`cube-unmult_binary64_6253` `distribute-rgt1-in_binary64_6172` `count-2_binary64_6164`
8×	`prod-exp_binary64_6265`
6×	`associate-*l/_binary64_6159`
5×	`unpow2_binary64_6281` `distribute-lft1-in_binary64_6171`
4×	`unpow1_binary64_6274`
1×	`1-exp_binary64_6260` `exp-1-e_binary64_6259` `rem-square-sqrt_binary64_6228` `/-rgt-identity_binary64_6207`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6479` `erf-erfc_binary64_6478` `erf-odd_binary64_6477` `if-if-and-not_binary64_6476` `if-if-and_binary64_6475` `if-if-or-not_binary64_6474` `if-if-or_binary64_6473` `if-not_binary64_6472` `if-same_binary64_6471` `if-false_binary64_6470` `if-true_binary64_6469` `not-gte_binary64_6468` `not-lte_binary64_6467` `not-gt_binary64_6466` `not-lt_binary64_6465` `gte-same_binary64_6464` `lte-same_binary64_6463` `gt-same_binary64_6462` `lt-same_binary64_6461` `sinh---cosh_binary64_6408` `sinh-+-cosh_binary64_6407` `sinh-cosh_binary64_6406` `tanh-def-c_binary64_6405` `tanh-def-b_binary64_6404` `tanh-def-a_binary64_6403` `cosh-def_binary64_6402` `sinh-def_binary64_6401` `tan-neg_binary64_6348` `cos-neg_binary64_6347` `sin-neg_binary64_6346` `tan-0_binary64_6345` `cos-0_binary64_6344` `sin-0_binary64_6343` `hang-m-tan_binary64_6342` `hang-p-tan_binary64_6341` `hang-m0-tan_binary64_6340` `hang-p0-tan_binary64_6339` `hang-0m-tan_binary64_6338` `hang-0p-tan_binary64_6337` `tan-+PI/2_binary64_6336` `tan-+PI_binary64_6335` `tan-PI_binary64_6334` `tan-PI/3_binary64_6333` `tan-PI/4_binary64_6332` `tan-PI/6_binary64_6331` `cos-+PI/2_binary64_6330` `cos-+PI_binary64_6329` `cos-PI_binary64_6328` `cos-PI/2_binary64_6327` `cos-PI/3_binary64_6326` `cos-PI/4_binary64_6325` `cos-PI/6_binary64_6324` `sin-+PI/2_binary64_6323` `sin-+PI_binary64_6322` `sin-PI_binary64_6321` `sin-PI/2_binary64_6320` `sin-PI/3_binary64_6319` `sin-PI/4_binary64_6318` `sin-PI/6_binary64_6317` `sub-1-sin_binary64_6316` `sub-1-cos_binary64_6315` `-1-add-sin_binary64_6314` `-1-add-cos_binary64_6313` `1-sub-sin_binary64_6312` `1-sub-cos_binary64_6311` `cos-sin-sum_binary64_6310` `log-E_binary64_6306` `pow-base-0_binary64_6300` `unpow1/3_binary64_6283` `exp-to-pow_binary64_6278` `pow-base-1_binary64_6276` `unpow0_binary64_6275` `unpow-1_binary64_6273` `exp-lft-cube_binary64_6272` `exp-cbrt_binary64_6270` `div-exp_binary64_6267` `rec-exp_binary64_6266` `exp-diff_binary64_6264` `exp-neg_binary64_6263` `exp-sum_binary64_6262` `e-exp-1_binary64_6261` `exp-0_binary64_6258` `rem-log-exp_binary64_6257` `rem-exp-log_binary64_6256` `cube-neg_binary64_6243` `rem-3cbrt-rft_binary64_6242` `rem-3cbrt-lft_binary64_6241` `rem-cbrt-cube_binary64_6240` `rem-cube-cbrt_binary64_6239` `sqr-abs_binary64_6231` `sqr-neg_binary64_6230` `div-sub_binary64_6221` `neg-mul-1_binary64_6212` `neg-sub0_binary64_6211` `unsub-neg_binary64_6210` `sub-neg_binary64_6209` `mul-1-neg_binary64_6208` `remove-double-neg_binary64_6204` `sub0-neg_binary64_6203` `--rgt-identity_binary64_6202` `+-rgt-identity_binary64_6201` `+-lft-identity_binary64_6200` `mul0-rgt_binary64_6199` `mul0-lft_binary64_6198` `div0_binary64_6197` `*-inverses_binary64_6196` `+-inverses_binary64_6195` `lft-mult-inverse_binary64_6194` `rgt-mult-inverse_binary64_6193` `remove-double-div_binary64_6192` `difference-of-sqr--1_binary64_6187` `difference-of-sqr-1_binary64_6186` `difference-of-squares_binary64_6185` `cancel-sign-sub-inv_binary64_6182` `cancel-sign-sub_binary64_6181` `distribute-neg-frac_binary64_6180` `distribute-frac-neg_binary64_6179` `distribute-neg-out_binary64_6178` `distribute-neg-in_binary64_6177` `distribute-rgt-neg-out_binary64_6176` `distribute-lft-neg-out_binary64_6175` `distribute-rgt-neg-in_binary64_6174` `distribute-lft-neg-in_binary64_6173` `distribute-rgt-out--_binary64_6170` `distribute-lft-out--_binary64_6168` `associate--r-_binary64_6155` `associate--l-_binary64_6154` `associate--l+_binary64_6153` `associate--r+_binary64_6152` `associate-+l-_binary64_6151` `associate-+r-_binary64_6150`

Counts

96 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	815
1	133	709
2	432	704
3	687	704
4	1123	704
5	2366	704
6	4650	704
7	4249	704
8	5006	704

prune33.0ms (1.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	64	7	71

Error

0.0b

Counts

71 → 7

Compiler

Compiled 545 to 112 computations (79.4% saved)

regimes107.0ms (4.1%)

Accuracy

Total 0.1b remaining (85.8%)

Threshold costs 0.1b (85.8%)

Compiler

Compiled 770 to 475 computations (38.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_6147

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_6476 if-if-and_binary64_6475 if-if-or-not_binary64_6474 if-if-or_binary64_6473 if-not_binary64_6472 if-same_binary64_6471 if-false_binary64_6470 if-true_binary64_6469 tan-0_binary64_6345 cos-0_binary64_6344 sin-0_binary64_6343 unpow1_binary64_6274 e-exp-1_binary64_6261 1-exp_binary64_6260 exp-1-e_binary64_6259 exp-0_binary64_6258 sqr-abs_binary64_6231 sqr-neg_binary64_6230 neg-mul-1_binary64_6212 neg-sub0_binary64_6211 unsub-neg_binary64_6210 sub-neg_binary64_6209 mul-1-neg_binary64_6208 /-rgt-identity_binary64_6207 *-rgt-identity_binary64_6206 *-lft-identity_binary64_6205 remove-double-neg_binary64_6204 sub0-neg_binary64_6203 --rgt-identity_binary64_6202 +-rgt-identity_binary64_6201 +-lft-identity_binary64_6200 cancel-sign-sub-inv_binary64_6182 cancel-sign-sub_binary64_6181 distribute-neg-frac_binary64_6180 distribute-frac-neg_binary64_6179 distribute-neg-out_binary64_6178 distribute-neg-in_binary64_6177 distribute-rgt-neg-out_binary64_6176 distribute-lft-neg-out_binary64_6175 distribute-rgt-neg-in_binary64_6174 distribute-lft-neg-in_binary64_6173 +-commutative_binary64_6146

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end0.0ms (0%)

sample626.0ms (23.8%)

Algorithm

1×

intervals

Results

152.0ms	8000×	body	128	valid
3.0ms	152×	body	128	invalid

Compiler

Compiled 263 to 164 computations (37.6% saved)

Details

analyze200.0ms (7.6%)

sample12.0ms (0.5%)

simplify8.0ms (0.3%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

rewrite21.0ms (0.8%)

series86.0ms (3.3%)

simplify66.0ms (2.5%)

prune13.0ms (0.5%)

localize4.0ms (0.1%)

rewrite19.0ms (0.7%)

series88.0ms (3.3%)

simplify69.0ms (2.6%)

prune12.0ms (0.5%)

localize7.0ms (0.3%)

rewrite90.0ms (3.4%)

series601.0ms (22.9%)

simplify80.0ms (3%)

prune38.0ms (1.5%)

localize4.0ms (0.2%)

rewrite78.0ms (3%)

series237.0ms (9%)

simplify115.0ms (4.4%)

prune33.0ms (1.2%)

regimes107.0ms (4.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample626.0ms (23.8%)

Profiling