Details

analyze53.0ms (0.5%)

Algorithm

1×

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%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
0.0ms	3×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 29 to 29 computations (0% saved)

simplify607.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

614×	`distribute-rgt-out--_binary64_19128`
545×	`distribute-rgt-neg-in_binary64_19132`
492×	`exp-prod_binary64_19226`
453×	`sub-neg_binary64_19167`
406×	`swap-sqr_binary64_19141`
271×	`distribute-rgt-in_binary64_19124`
207×	`unsub-neg_binary64_19168`
180×	`distribute-lft-in_binary64_19123`
158×	`distribute-rgt-neg-out_binary64_19134`
150×	`distribute-neg-in_binary64_19135`
142×	`div-sub_binary64_19179`
128×	`distribute-lft-neg-out_binary64_19133`
101×	`associate-l_binary64_19115`
97×	`neg-sub0_binary64_19169`
96×	`associate-r_binary64_19114`
93×	`neg-mul-1_binary64_19170`
90×	`associate-/l*_binary64_19119`
86×	`distribute-lft-neg-in_binary64_19131`
83×	`cancel-sign-sub-inv_binary64_19140`
65×	`associate--r+_binary64_19110`
64×	`times-frac_binary64_19180`
61×	`distribute-neg-frac_binary64_19138`
50×	`mul0-rgt_binary64_19157` `mul0-lft_binary64_19156`
49×	`*-commutative_binary64_19105`
46×	`associate-+l-_binary64_19109`
42×	`sqr-pow_binary64_19146`
37×	`distribute-rgt1-in_binary64_19130`
32×	`*-rgt-identity_binary64_19164`
29×	`associate-/r_binary64_19118` `associate-l/_binary64_19117`
26×	`pow-sqr_binary64_19147`
25×	`difference-of-squares_binary64_19143` `distribute-rgt-out_binary64_19127` `associate--l+_binary64_19111`
23×	`pow-plus_binary64_19237` `exp-sum_binary64_19220`
22×	`*-lft-identity_binary64_19163`
21×	`associate-*r/_binary64_19116`
18×	`remove-double-neg_binary64_19162` `sub0-neg_binary64_19161` `+-inverses_binary64_19153` `+-commutative_binary64_19104`
16×	`exp-diff_binary64_19222` `associate-+r-_binary64_19108` `associate-+l+_binary64_19107`
14×	`cancel-sign-sub_binary64_19139`
13×	`div0_binary64_19155`
11×	`associate-+r+_binary64_19106`
10×	`distribute-lft1-in_binary64_19129`
9×	`distribute-neg-out_binary64_19136`
7×	`distribute-frac-neg_binary64_19137`
6×	`exp-lft-cube_binary64_19230` `--rgt-identity_binary64_19160` `associate-/l/_binary64_19121` `associate--r-_binary64_19113`
5×	`exp-lft-sqr_binary64_19229` `cube-prod_binary64_19202` `+-rgt-identity_binary64_19159` `difference-of-sqr-1_binary64_19144`
4×	`pow-base-1_binary64_19234` `+-lft-identity_binary64_19158`
3×	`mul-1-neg_binary64_19166` `/-rgt-identity_binary64_19165` `unswap-sqr_binary64_19142` `count-2_binary64_19122`
2×	`unpow3_binary64_19240` `associate-/r/_binary64_19120`
1×	`prod-exp_binary64_19223` `1-exp_binary64_19218` `exp-1-e_binary64_19217` `cube-unmult_binary64_19211` `cube-mult_binary64_19204` `rem-sqrt-square_binary64_19187` `rem-square-sqrt_binary64_19186`
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_19437` `erf-erfc_binary64_19436` `erf-odd_binary64_19435` `if-if-and-not_binary64_19434` `if-if-and_binary64_19433` `if-if-or-not_binary64_19432` `if-if-or_binary64_19431` `if-not_binary64_19430` `if-same_binary64_19429` `if-false_binary64_19428` `if-true_binary64_19427` `not-gte_binary64_19426` `not-lte_binary64_19425` `not-gt_binary64_19424` `not-lt_binary64_19423` `gte-same_binary64_19422` `lte-same_binary64_19421` `gt-same_binary64_19420` `lt-same_binary64_19419` `sinh---cosh_binary64_19366` `sinh-+-cosh_binary64_19365` `sinh-cosh_binary64_19364` `tanh-def-c_binary64_19363` `tanh-def-b_binary64_19362` `tanh-def-a_binary64_19361` `cosh-def_binary64_19360` `sinh-def_binary64_19359` `tan-neg_binary64_19306` `cos-neg_binary64_19305` `sin-neg_binary64_19304` `tan-0_binary64_19303` `cos-0_binary64_19302` `sin-0_binary64_19301` `hang-m-tan_binary64_19300` `hang-p-tan_binary64_19299` `hang-m0-tan_binary64_19298` `hang-p0-tan_binary64_19297` `hang-0m-tan_binary64_19296` `hang-0p-tan_binary64_19295` `tan-+PI/2_binary64_19294` `tan-+PI_binary64_19293` `tan-PI_binary64_19292` `tan-PI/3_binary64_19291` `tan-PI/4_binary64_19290` `tan-PI/6_binary64_19289` `cos-+PI/2_binary64_19288` `cos-+PI_binary64_19287` `cos-PI_binary64_19286` `cos-PI/2_binary64_19285` `cos-PI/3_binary64_19284` `cos-PI/4_binary64_19283` `cos-PI/6_binary64_19282` `sin-+PI/2_binary64_19281` `sin-+PI_binary64_19280` `sin-PI_binary64_19279` `sin-PI/2_binary64_19278` `sin-PI/3_binary64_19277` `sin-PI/4_binary64_19276` `sin-PI/6_binary64_19275` `sub-1-sin_binary64_19274` `sub-1-cos_binary64_19273` `-1-add-sin_binary64_19272` `-1-add-cos_binary64_19271` `1-sub-sin_binary64_19270` `1-sub-cos_binary64_19269` `cos-sin-sum_binary64_19268` `log-E_binary64_19264` `log-pow_binary64_19263` `log-rec_binary64_19262` `log-div_binary64_19261` `log-prod_binary64_19260` `pow-base-0_binary64_19258` `unpow1/3_binary64_19241` `unpow2_binary64_19239` `unpow1/2_binary64_19238` `exp-to-pow_binary64_19236` `unpow0_binary64_19233` `unpow1_binary64_19232` `unpow-1_binary64_19231` `exp-cbrt_binary64_19228` `exp-sqrt_binary64_19227` `div-exp_binary64_19225` `rec-exp_binary64_19224` `exp-neg_binary64_19221` `e-exp-1_binary64_19219` `exp-0_binary64_19216` `rem-log-exp_binary64_19215` `rem-exp-log_binary64_19214` `cube-div_binary64_19203` `cube-neg_binary64_19201` `rem-3cbrt-rft_binary64_19200` `rem-3cbrt-lft_binary64_19199` `rem-cbrt-cube_binary64_19198` `rem-cube-cbrt_binary64_19197` `sqr-abs_binary64_19189` `sqr-neg_binary64_19188` `*-inverses_binary64_19154` `lft-mult-inverse_binary64_19152` `rgt-mult-inverse_binary64_19151` `remove-double-div_binary64_19150` `difference-of-sqr--1_binary64_19145` `distribute-lft-out--_binary64_19126` `distribute-lft-out_binary64_19125` `associate--l-_binary64_19112`

Counts

1 → 6

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	27	21
2	69	21
3	165	21
4	283	21
5	497	21
6	1041	21
7	2514	21

prune18.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Error

0.1b

Counts

7 → 5

Compiler

Compiled 154 to 128 computations (16.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (/.f64 1 (*.f64 x 9)))
0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 1 (*.f64 x 9))

rewrite187.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_19174`
22×	`add-exp-log_binary64_19212`
20×	`add-sqr-sqrt_binary64_19196`
16×	`add-cbrt-cube_binary64_19210`
15×	`associate-r_binary64_19114`
14×	`pow1_binary64_19235`
12×	`add-cube-cbrt_binary64_19209`
7×	`prod-exp_binary64_19223`
6×	`add-log-exp_binary64_19213` `cancel-sign-sub-inv_binary64_19140`
5×	`pow-prod-down_binary64_19245` `cbrt-unprod_binary64_19207` `distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123`
4×	`div-exp_binary64_19225` `sqrt-prod_binary64_19190` `associate-l_binary64_19115` `distribute-lft-out_binary64_19125`
3×	`times-frac_binary64_19180` `div-inv_binary64_19171` `associate-/l*_binary64_19119` `distribute-lft-out--_binary64_19126`
2×	`pow-flip_binary64_19248` `1-exp_binary64_19218` `rec-exp_binary64_19224` `cbrt-undiv_binary64_19208` `unswap-sqr_binary64_19142` `-commutative_binary64_19105` `sub-neg_binary64_19167` `associate--l+_binary64_19111` `associate-r/_binary64_19116` `difference-of-squares_binary64_19143`
1×	`inv-pow_binary64_19259` `frac-2neg_binary64_19185` `clear-num_binary64_19173` `associate-/r*_binary64_19118` `flip3--_binary64_19178` `flip--_binary64_19149` `difference-of-sqr-1_binary64_19144` `sum-log_binary64_19265` `flip3-+_binary64_19177` `flip-+_binary64_19148` `+-commutative_binary64_19104`

Counts

4 → 99

Calls

4 calls:

15.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
6.0ms	(+.f64 y (/.f64 1 (*.f64 x 9)))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 2109 to 1565 computations (25.8% saved)

series411.0ms (4%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

211.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
115.0ms	(+.f64 y (/.f64 1 (*.f64 x 9)))
31.0ms	(/.f64 1 (*.f64 x 9))
26.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 956 to 796 computations (16.7% saved)

simplify331.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

765×	`times-frac_binary64_19180`
516×	`distribute-rgt-in_binary64_19124`
481×	`distribute-lft-in_binary64_19123`
237×	`associate-l_binary64_19115`
183×	`associate-/l*_binary64_19119`
177×	`associate-r_binary64_19114`
157×	`associate-/r*_binary64_19118`
131×	`associate-*l/_binary64_19117`
103×	`associate-*r/_binary64_19116`
98×	`*-commutative_binary64_19105`
61×	`associate-/l/_binary64_19121`
46×	`cancel-sign-sub-inv_binary64_19140`
43×	`*-lft-identity_binary64_19163`
42×	`sub-neg_binary64_19167`
40×	`sqr-pow_binary64_19146`
39×	`distribute-rgt-neg-in_binary64_19132`
35×	`associate-/r/_binary64_19120`
33×	`log-prod_binary64_19260` `*-rgt-identity_binary64_19164` `unswap-sqr_binary64_19142`
32×	`unsub-neg_binary64_19168`
29×	`distribute-lft-neg-in_binary64_19131`
27×	`exp-prod_binary64_19226`
26×	`+-commutative_binary64_19104`
25×	`distribute-rgt-out_binary64_19127`
24×	`cube-prod_binary64_19202` `distribute-lft-neg-out_binary64_19133`
21×	`neg-sub0_binary64_19169` `distribute-neg-frac_binary64_19138`
19×	`neg-mul-1_binary64_19170` `swap-sqr_binary64_19141` `distribute-rgt-neg-out_binary64_19134`
17×	`distribute-rgt-out--_binary64_19128`
16×	`pow-sqr_binary64_19147`
13×	`cube-div_binary64_19203`
11×	`log-div_binary64_19261` `associate-+l+_binary64_19107`
9×	`unpow3_binary64_19240`
8×	`exp-sum_binary64_19220` `cube-unmult_binary64_19211` `cube-mult_binary64_19204` `associate--l+_binary64_19111`
7×	`div-sub_binary64_19179` `distribute-lft-out_binary64_19125`
6×	`pow-plus_binary64_19237` `/-rgt-identity_binary64_19165` `associate-+r-_binary64_19108`
5×	`log-pow_binary64_19263` `log-rec_binary64_19262` `rem-sqrt-square_binary64_19187` `mul-1-neg_binary64_19166` `+-rgt-identity_binary64_19159` `difference-of-squares_binary64_19143`
3×	`pow-base-1_binary64_19234` `exp-lft-cube_binary64_19230` `distribute-neg-in_binary64_19135` `distribute-lft1-in_binary64_19129` `associate--r+_binary64_19110`
2×	`prod-exp_binary64_19223` `exp-diff_binary64_19222` `rem-square-sqrt_binary64_19186` `difference-of-sqr-1_binary64_19144` `count-2_binary64_19122` `associate-+r+_binary64_19106`
1×	`1-exp_binary64_19218` `exp-1-e_binary64_19217` `rem-log-exp_binary64_19215` `rem-3cbrt-lft_binary64_19199` `rem-cbrt-cube_binary64_19198` `distribute-lft-out--_binary64_19126` `associate-+l-_binary64_19109`
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_19437` `erf-erfc_binary64_19436` `erf-odd_binary64_19435` `if-if-and-not_binary64_19434` `if-if-and_binary64_19433` `if-if-or-not_binary64_19432` `if-if-or_binary64_19431` `if-not_binary64_19430` `if-same_binary64_19429` `if-false_binary64_19428` `if-true_binary64_19427` `not-gte_binary64_19426` `not-lte_binary64_19425` `not-gt_binary64_19424` `not-lt_binary64_19423` `gte-same_binary64_19422` `lte-same_binary64_19421` `gt-same_binary64_19420` `lt-same_binary64_19419` `sinh---cosh_binary64_19366` `sinh-+-cosh_binary64_19365` `sinh-cosh_binary64_19364` `tanh-def-c_binary64_19363` `tanh-def-b_binary64_19362` `tanh-def-a_binary64_19361` `cosh-def_binary64_19360` `sinh-def_binary64_19359` `tan-neg_binary64_19306` `cos-neg_binary64_19305` `sin-neg_binary64_19304` `tan-0_binary64_19303` `cos-0_binary64_19302` `sin-0_binary64_19301` `hang-m-tan_binary64_19300` `hang-p-tan_binary64_19299` `hang-m0-tan_binary64_19298` `hang-p0-tan_binary64_19297` `hang-0m-tan_binary64_19296` `hang-0p-tan_binary64_19295` `tan-+PI/2_binary64_19294` `tan-+PI_binary64_19293` `tan-PI_binary64_19292` `tan-PI/3_binary64_19291` `tan-PI/4_binary64_19290` `tan-PI/6_binary64_19289` `cos-+PI/2_binary64_19288` `cos-+PI_binary64_19287` `cos-PI_binary64_19286` `cos-PI/2_binary64_19285` `cos-PI/3_binary64_19284` `cos-PI/4_binary64_19283` `cos-PI/6_binary64_19282` `sin-+PI/2_binary64_19281` `sin-+PI_binary64_19280` `sin-PI_binary64_19279` `sin-PI/2_binary64_19278` `sin-PI/3_binary64_19277` `sin-PI/4_binary64_19276` `sin-PI/6_binary64_19275` `sub-1-sin_binary64_19274` `sub-1-cos_binary64_19273` `-1-add-sin_binary64_19272` `-1-add-cos_binary64_19271` `1-sub-sin_binary64_19270` `1-sub-cos_binary64_19269` `cos-sin-sum_binary64_19268` `log-E_binary64_19264` `pow-base-0_binary64_19258` `unpow1/3_binary64_19241` `unpow2_binary64_19239` `unpow1/2_binary64_19238` `exp-to-pow_binary64_19236` `unpow0_binary64_19233` `unpow1_binary64_19232` `unpow-1_binary64_19231` `exp-lft-sqr_binary64_19229` `exp-cbrt_binary64_19228` `exp-sqrt_binary64_19227` `div-exp_binary64_19225` `rec-exp_binary64_19224` `exp-neg_binary64_19221` `e-exp-1_binary64_19219` `exp-0_binary64_19216` `rem-exp-log_binary64_19214` `cube-neg_binary64_19201` `rem-3cbrt-rft_binary64_19200` `rem-cube-cbrt_binary64_19197` `sqr-abs_binary64_19189` `sqr-neg_binary64_19188` `remove-double-neg_binary64_19162` `sub0-neg_binary64_19161` `--rgt-identity_binary64_19160` `+-lft-identity_binary64_19158` `mul0-rgt_binary64_19157` `mul0-lft_binary64_19156` `div0_binary64_19155` `*-inverses_binary64_19154` `+-inverses_binary64_19153` `lft-mult-inverse_binary64_19152` `rgt-mult-inverse_binary64_19151` `remove-double-div_binary64_19150` `difference-of-sqr--1_binary64_19145` `cancel-sign-sub_binary64_19139` `distribute-frac-neg_binary64_19137` `distribute-neg-out_binary64_19136` `distribute-rgt1-in_binary64_19130` `associate--r-_binary64_19113` `associate--l-_binary64_19112`

Counts

126 → 242

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	1833
1	461	1643
2	1434	1636

prune421.0ms (4.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	232	10	242
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	236	11	247

Error

0.0b

Counts

247 → 11

Compiler

Compiled 5574 to 4047 computations (27.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(.f64 3 (.f64 y (sqrt.f64 x)))
0.3b	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
0.4b	(sqrt.f64 (/.f64 1 x))

rewrite198.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`add-sqr-sqrt_binary64_19196`
33×	`sqrt-prod_binary64_19190`
26×	`*-un-lft-identity_binary64_19174`
24×	`add-cube-cbrt_binary64_19209`
23×	`associate-r_binary64_19114`
22×	`times-frac_binary64_19180`
15×	`pow1_binary64_19235`
13×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
9×	`associate-l_binary64_19115`
6×	`unswap-sqr_binary64_19142`
5×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
4×	`add-log-exp_binary64_19213`
3×	`sqrt-pow1_binary64_19192` `rem-sqrt-square_binary64_19187` `*-commutative_binary64_19105`
2×	`sqrt-div_binary64_19191` `div-inv_binary64_19171`
1×	`pow1/2_binary64_19254` `inv-pow_binary64_19259` `pow-flip_binary64_19248` `associate-*r/_binary64_19116`

Counts

4 → 103

Calls

4 calls:

9.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
6.0ms	(.f64 3 (.f64 y (sqrt.f64 x)))
5.0ms	(*.f64 3 (sqrt.f64 x))
4.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 2501 to 1625 computations (35% saved)

series183.0ms (1.8%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

94.0ms	(.f64 3 (.f64 y (sqrt.f64 x)))
28.0ms	(*.f64 3 (sqrt.f64 x))
24.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
21.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 886 to 692 computations (21.9% saved)

simplify1.1s (10.4%)

Algorithm

1×	egg-herbie

Rules

708×	`div-sub_binary64_19179`
621×	`associate-/l*_binary64_19119`
282×	`associate-*l/_binary64_19117`
276×	`sqr-pow_binary64_19146`
254×	`*-commutative_binary64_19105`
205×	`associate-l_binary64_19115`
189×	`unswap-sqr_binary64_19142`
179×	`pow-sqr_binary64_19147`
177×	`associate-r_binary64_19114`
126×	`exp-to-pow_binary64_19236`
111×	`*-lft-identity_binary64_19163`
107×	`associate-/r*_binary64_19118`
103×	`*-rgt-identity_binary64_19164`
99×	`associate-/l/_binary64_19121`
94×	`sub-neg_binary64_19167`
83×	`associate-*r/_binary64_19116`
81×	`associate-/r/_binary64_19120`
76×	`exp-prod_binary64_19226`
70×	`cancel-sign-sub-inv_binary64_19140`
62×	`distribute-rgt-out_binary64_19127`
60×	`unsub-neg_binary64_19168`
51×	`times-frac_binary64_19180`
49×	`log-prod_binary64_19260`
47×	`distribute-rgt-out--_binary64_19128`
44×	`neg-mul-1_binary64_19170`
42×	`log-div_binary64_19261`
41×	`cube-div_binary64_19203`
38×	`cube-prod_binary64_19202`
31×	`associate-+l-_binary64_19109`
28×	`distribute-lft-out_binary64_19125`
26×	`swap-sqr_binary64_19141`
24×	`pow-plus_binary64_19237` `neg-sub0_binary64_19169` `associate--r+_binary64_19110`
23×	`sub0-neg_binary64_19161` `distribute-lft-out--_binary64_19126`
22×	`log-rec_binary64_19262`
21×	`prod-exp_binary64_19223`
20×	`exp-diff_binary64_19222`
18×	`unpow3_binary64_19240`
17×	`log-pow_binary64_19263` `exp-sum_binary64_19220` `distribute-rgt-neg-in_binary64_19132`
16×	`distribute-neg-out_binary64_19136`
15×	`cube-unmult_binary64_19211` `cube-mult_binary64_19204`
14×	`distribute-rgt-in_binary64_19124` `+-commutative_binary64_19104`
13×	`remove-double-div_binary64_19150` `distribute-frac-neg_binary64_19137`
12×	`associate--r-_binary64_19113`
11×	`/-rgt-identity_binary64_19165` `distribute-lft-neg-in_binary64_19131`
9×	`div-exp_binary64_19225` `rem-sqrt-square_binary64_19187` `+-lft-identity_binary64_19158` `distribute-neg-frac_binary64_19138` `distribute-rgt1-in_binary64_19130` `distribute-lft-in_binary64_19123`
8×	`associate--l-_binary64_19112`
7×	`exp-lft-cube_binary64_19230` `+-inverses_binary64_19153` `associate-+l+_binary64_19107`
6×	`remove-double-neg_binary64_19162` `associate-+r+_binary64_19106`
5×	`mul0-rgt_binary64_19157` `div0_binary64_19155` `distribute-rgt-neg-out_binary64_19134` `distribute-lft-neg-out_binary64_19133`
4×	`pow-base-1_binary64_19234` `mul0-lft_binary64_19156` `count-2_binary64_19122`
3×	`rec-exp_binary64_19224`
2×	`unpow1/3_binary64_19241` `rem-log-exp_binary64_19215` `rem-square-sqrt_binary64_19186` `mul-1-neg_binary64_19166` `--rgt-identity_binary64_19160`
1×	`exp-sqrt_binary64_19227` `exp-neg_binary64_19221` `1-exp_binary64_19218` `exp-1-e_binary64_19217` `rem-cbrt-cube_binary64_19198` `+-rgt-identity_binary64_19159` `*-inverses_binary64_19154` `lft-mult-inverse_binary64_19152` `cancel-sign-sub_binary64_19139` `distribute-lft1-in_binary64_19129` `associate-+r-_binary64_19108`
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_19437` `erf-erfc_binary64_19436` `erf-odd_binary64_19435` `if-if-and-not_binary64_19434` `if-if-and_binary64_19433` `if-if-or-not_binary64_19432` `if-if-or_binary64_19431` `if-not_binary64_19430` `if-same_binary64_19429` `if-false_binary64_19428` `if-true_binary64_19427` `not-gte_binary64_19426` `not-lte_binary64_19425` `not-gt_binary64_19424` `not-lt_binary64_19423` `gte-same_binary64_19422` `lte-same_binary64_19421` `gt-same_binary64_19420` `lt-same_binary64_19419` `sinh---cosh_binary64_19366` `sinh-+-cosh_binary64_19365` `sinh-cosh_binary64_19364` `tanh-def-c_binary64_19363` `tanh-def-b_binary64_19362` `tanh-def-a_binary64_19361` `cosh-def_binary64_19360` `sinh-def_binary64_19359` `tan-neg_binary64_19306` `cos-neg_binary64_19305` `sin-neg_binary64_19304` `tan-0_binary64_19303` `cos-0_binary64_19302` `sin-0_binary64_19301` `hang-m-tan_binary64_19300` `hang-p-tan_binary64_19299` `hang-m0-tan_binary64_19298` `hang-p0-tan_binary64_19297` `hang-0m-tan_binary64_19296` `hang-0p-tan_binary64_19295` `tan-+PI/2_binary64_19294` `tan-+PI_binary64_19293` `tan-PI_binary64_19292` `tan-PI/3_binary64_19291` `tan-PI/4_binary64_19290` `tan-PI/6_binary64_19289` `cos-+PI/2_binary64_19288` `cos-+PI_binary64_19287` `cos-PI_binary64_19286` `cos-PI/2_binary64_19285` `cos-PI/3_binary64_19284` `cos-PI/4_binary64_19283` `cos-PI/6_binary64_19282` `sin-+PI/2_binary64_19281` `sin-+PI_binary64_19280` `sin-PI_binary64_19279` `sin-PI/2_binary64_19278` `sin-PI/3_binary64_19277` `sin-PI/4_binary64_19276` `sin-PI/6_binary64_19275` `sub-1-sin_binary64_19274` `sub-1-cos_binary64_19273` `-1-add-sin_binary64_19272` `-1-add-cos_binary64_19271` `1-sub-sin_binary64_19270` `1-sub-cos_binary64_19269` `cos-sin-sum_binary64_19268` `log-E_binary64_19264` `pow-base-0_binary64_19258` `unpow2_binary64_19239` `unpow1/2_binary64_19238` `unpow0_binary64_19233` `unpow1_binary64_19232` `unpow-1_binary64_19231` `exp-lft-sqr_binary64_19229` `exp-cbrt_binary64_19228` `e-exp-1_binary64_19219` `exp-0_binary64_19216` `rem-exp-log_binary64_19214` `cube-neg_binary64_19201` `rem-3cbrt-rft_binary64_19200` `rem-3cbrt-lft_binary64_19199` `rem-cube-cbrt_binary64_19197` `sqr-abs_binary64_19189` `sqr-neg_binary64_19188` `rgt-mult-inverse_binary64_19151` `difference-of-sqr--1_binary64_19145` `difference-of-sqr-1_binary64_19144` `difference-of-squares_binary64_19143` `distribute-neg-in_binary64_19135` `associate--l+_binary64_19111`

Counts

118 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	1406
1	317	1277
2	923	1276
3	1391	1120
4	2624	1120
5	3621	1120

prune388.0ms (3.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	211	9	220

Error

0.0b

Counts

220 → 9

Compiler

Compiled 5497 to 3629 computations (34% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (sqrt.f64 x))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(.f64 3 (.f64 y (sqrt.f64 x)))
0.3b	(*.f64 1/3 (pow.f64 x (/.f64 -1 2)))

rewrite161.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64_19196`
20×	`associate-r_binary64_19114`
18×	`add-exp-log_binary64_19212`
15×	`add-cbrt-cube_binary64_19210`
14×	`add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174`
13×	`pow1_binary64_19235`
12×	`associate-l_binary64_19115`
8×	`prod-exp_binary64_19223` `sqrt-prod_binary64_19190`
7×	`unswap-sqr_binary64_19142`
6×	`cbrt-unprod_binary64_19207`
5×	`pow-prod-down_binary64_19245`
4×	`add-log-exp_binary64_19213` `unpow-prod-down_binary64_19253` `*-commutative_binary64_19105`
2×	`sqr-pow_binary64_19146`
1×	`pow-to-exp_binary64_19243` `pow-exp_binary64_19242`

Counts

4 → 87

Calls

4 calls:

8.0ms	(.f64 3 (.f64 y (sqrt.f64 x)))
6.0ms	(*.f64 1/3 (pow.f64 x (/.f64 -1 2)))
6.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(*.f64 y (sqrt.f64 x))

Compiler

Compiled 2183 to 1404 computations (35.7% saved)

series249.0ms (2.4%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

102.0ms	(.f64 3 (.f64 y (sqrt.f64 x)))
73.0ms	(*.f64 y (sqrt.f64 x))
31.0ms	(*.f64 1/3 (pow.f64 x (/.f64 -1 2)))
24.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 1105 to 882 computations (20.2% saved)

simplify686.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

457×	`sqr-pow_binary64_19146`
342×	`associate-/l_binary64_19119` `associate-r/_binary64_19116`
322×	`pow-sqr_binary64_19147`
285×	`*-commutative_binary64_19105`
221×	`associate-l_binary64_19115`
220×	`associate-/l/_binary64_19121`
196×	`associate-r_binary64_19114`
157×	`associate-/r/_binary64_19120`
150×	`exp-prod_binary64_19226`
132×	`unswap-sqr_binary64_19142`
125×	`times-frac_binary64_19180`
119×	`log-prod_binary64_19260`
107×	`distribute-rgt-out_binary64_19127`
105×	`associate-/r*_binary64_19118`
98×	`cube-prod_binary64_19202`
85×	`log-pow_binary64_19263`
80×	`pow-plus_binary64_19237`
75×	`*-rgt-identity_binary64_19164`
74×	`exp-to-pow_binary64_19236` `div-sub_binary64_19179`
70×	`unsub-neg_binary64_19168`
56×	`associate-+l+_binary64_19107`
53×	`*-lft-identity_binary64_19163`
45×	`log-div_binary64_19261`
44×	`distribute-rgt-in_binary64_19124`
41×	`associate-+r+_binary64_19106`
35×	`cube-div_binary64_19203`
32×	`associate-*l/_binary64_19117`
27×	`unpow3_binary64_19240` `swap-sqr_binary64_19141` `distribute-lft-out_binary64_19125`
25×	`cube-mult_binary64_19204`
24×	`exp-sqrt_binary64_19227`
19×	`pow-base-1_binary64_19234`
17×	`/-rgt-identity_binary64_19165` `count-2_binary64_19122`
16×	`cube-unmult_binary64_19211` `distribute-lft-in_binary64_19123`
13×	`prod-exp_binary64_19223`
11×	`+-commutative_binary64_19104`
10×	`rem-sqrt-square_binary64_19187`
9×	`distribute-frac-neg_binary64_19137` `distribute-rgt1-in_binary64_19130`
8×	`exp-lft-sqr_binary64_19229` `exp-sum_binary64_19220` `neg-mul-1_binary64_19170`
7×	`remove-double-div_binary64_19150`
6×	`neg-sub0_binary64_19169` `+-rgt-identity_binary64_19159`
5×	`log-rec_binary64_19262` `exp-lft-cube_binary64_19230`
4×	`unpow1/3_binary64_19241` `exp-neg_binary64_19221` `mul-1-neg_binary64_19166` `+-lft-identity_binary64_19158` `mul0-lft_binary64_19156`
3×	`sub-neg_binary64_19167` `distribute-neg-in_binary64_19135` `distribute-lft1-in_binary64_19129`
2×	`rem-log-exp_binary64_19215` `distribute-neg-frac_binary64_19138` `distribute-rgt-neg-in_binary64_19132` `distribute-lft-neg-in_binary64_19131` `associate--r+_binary64_19110`
1×	`unpow-1_binary64_19231` `div-exp_binary64_19225` `rec-exp_binary64_19224` `exp-diff_binary64_19222` `1-exp_binary64_19218` `exp-1-e_binary64_19217` `rem-square-sqrt_binary64_19186` `*-inverses_binary64_19154` `rgt-mult-inverse_binary64_19151` `cancel-sign-sub-inv_binary64_19140` `distribute-rgt-neg-out_binary64_19134` `distribute-lft-neg-out_binary64_19133`
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_19437` `erf-erfc_binary64_19436` `erf-odd_binary64_19435` `if-if-and-not_binary64_19434` `if-if-and_binary64_19433` `if-if-or-not_binary64_19432` `if-if-or_binary64_19431` `if-not_binary64_19430` `if-same_binary64_19429` `if-false_binary64_19428` `if-true_binary64_19427` `not-gte_binary64_19426` `not-lte_binary64_19425` `not-gt_binary64_19424` `not-lt_binary64_19423` `gte-same_binary64_19422` `lte-same_binary64_19421` `gt-same_binary64_19420` `lt-same_binary64_19419` `sinh---cosh_binary64_19366` `sinh-+-cosh_binary64_19365` `sinh-cosh_binary64_19364` `tanh-def-c_binary64_19363` `tanh-def-b_binary64_19362` `tanh-def-a_binary64_19361` `cosh-def_binary64_19360` `sinh-def_binary64_19359` `tan-neg_binary64_19306` `cos-neg_binary64_19305` `sin-neg_binary64_19304` `tan-0_binary64_19303` `cos-0_binary64_19302` `sin-0_binary64_19301` `hang-m-tan_binary64_19300` `hang-p-tan_binary64_19299` `hang-m0-tan_binary64_19298` `hang-p0-tan_binary64_19297` `hang-0m-tan_binary64_19296` `hang-0p-tan_binary64_19295` `tan-+PI/2_binary64_19294` `tan-+PI_binary64_19293` `tan-PI_binary64_19292` `tan-PI/3_binary64_19291` `tan-PI/4_binary64_19290` `tan-PI/6_binary64_19289` `cos-+PI/2_binary64_19288` `cos-+PI_binary64_19287` `cos-PI_binary64_19286` `cos-PI/2_binary64_19285` `cos-PI/3_binary64_19284` `cos-PI/4_binary64_19283` `cos-PI/6_binary64_19282` `sin-+PI/2_binary64_19281` `sin-+PI_binary64_19280` `sin-PI_binary64_19279` `sin-PI/2_binary64_19278` `sin-PI/3_binary64_19277` `sin-PI/4_binary64_19276` `sin-PI/6_binary64_19275` `sub-1-sin_binary64_19274` `sub-1-cos_binary64_19273` `-1-add-sin_binary64_19272` `-1-add-cos_binary64_19271` `1-sub-sin_binary64_19270` `1-sub-cos_binary64_19269` `cos-sin-sum_binary64_19268` `log-E_binary64_19264` `pow-base-0_binary64_19258` `unpow2_binary64_19239` `unpow1/2_binary64_19238` `unpow0_binary64_19233` `unpow1_binary64_19232` `exp-cbrt_binary64_19228` `e-exp-1_binary64_19219` `exp-0_binary64_19216` `rem-exp-log_binary64_19214` `cube-neg_binary64_19201` `rem-3cbrt-rft_binary64_19200` `rem-3cbrt-lft_binary64_19199` `rem-cbrt-cube_binary64_19198` `rem-cube-cbrt_binary64_19197` `sqr-abs_binary64_19189` `sqr-neg_binary64_19188` `remove-double-neg_binary64_19162` `sub0-neg_binary64_19161` `--rgt-identity_binary64_19160` `mul0-rgt_binary64_19157` `div0_binary64_19155` `+-inverses_binary64_19153` `lft-mult-inverse_binary64_19152` `difference-of-sqr--1_binary64_19145` `difference-of-sqr-1_binary64_19144` `difference-of-squares_binary64_19143` `cancel-sign-sub_binary64_19139` `distribute-neg-out_binary64_19136` `distribute-rgt-out--_binary64_19128` `distribute-lft-out--_binary64_19126` `associate--r-_binary64_19113` `associate--l-_binary64_19112` `associate--l+_binary64_19111` `associate-+l-_binary64_19109` `associate-+r-_binary64_19108`

Counts

105 → 115

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	138	1162
1	293	1072
2	909	1071
3	1296	1071
4	2190	1047
5	3881	1043

prune177.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Error

0.0b

Counts

124 → 9

Compiler

Compiled 2843 to 1836 computations (35.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 3 y) 3)
0.3b	(.f64 (sqrt.f64 x) (+.f64 (/.f64 (/.f64 3 x) 9) (-.f64 (.f64 3 y) 3)))
0.5b	(/.f64 (/.f64 3 x) 9)

rewrite225.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`times-frac_binary64_19180`
53×	`add-sqr-sqrt_binary64_19196`
51×	`*-un-lft-identity_binary64_19174`
49×	`add-cube-cbrt_binary64_19209`
13×	`associate-/l*_binary64_19119`
10×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
6×	`associate-l_binary64_19115`
5×	`pow1_binary64_19235` `add-log-exp_binary64_19213` `div-inv_binary64_19171`
4×	`sqrt-prod_binary64_19190` `associate-r/_binary64_19116` `associate-r*_binary64_19114`
3×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `associate-/r*_binary64_19118` `cancel-sign-sub-inv_binary64_19140`
2×	`unswap-sqr_binary64_19142` `flip3--_binary64_19178` `frac-add_binary64_19182` `flip--_binary64_19149`
1×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `associate-/l/_binary64_19121` `pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123` `flip3-+_binary64_19177` `flip-+_binary64_19148` `distribute-lft-out_binary64_19125` `*-commutative_binary64_19105` `diff-log_binary64_19266` `sub-neg_binary64_19167`

Counts

3 → 113

Calls

3 calls:

25.0ms	(.f64 (sqrt.f64 x) (+.f64 (/.f64 (/.f64 3 x) 9) (-.f64 (.f64 3 y) 3)))
9.0ms	(/.f64 (/.f64 3 x) 9)
4.0ms	(-.f64 (*.f64 3 y) 3)

Compiler

Compiled 2713 to 2040 computations (24.8% saved)

series304.0ms (3%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

200.0ms	(.f64 (sqrt.f64 x) (+.f64 (/.f64 (/.f64 3 x) 9) (-.f64 (.f64 3 y) 3)))
54.0ms	(-.f64 (*.f64 3 y) 3)
33.0ms	(/.f64 (/.f64 3 x) 9)

Compiler

Compiled 641 to 522 computations (18.6% saved)

simplify259.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

677×	`associate-/l*_binary64_19119`
522×	`distribute-rgt-in_binary64_19124`
516×	`distribute-lft-in_binary64_19123`
263×	`associate-/r/_binary64_19120`
172×	`associate-/l/_binary64_19121`
128×	`associate-l_binary64_19115`
122×	`associate-r_binary64_19114`
93×	`*-commutative_binary64_19105`
89×	`associate-/r*_binary64_19118`
82×	`associate-*l/_binary64_19117`
43×	`associate-*r/_binary64_19116`
41×	`sub-neg_binary64_19167`
40×	`times-frac_binary64_19180`
39×	`*-rgt-identity_binary64_19164`
38×	`exp-prod_binary64_19226`
36×	`sqr-pow_binary64_19146`
34×	`unswap-sqr_binary64_19142`
33×	`distribute-lft-out_binary64_19125`
31×	`cancel-sign-sub-inv_binary64_19140`
29×	`*-lft-identity_binary64_19163` `distribute-lft-neg-out_binary64_19133`
28×	`distribute-rgt-neg-in_binary64_19132`
27×	`distribute-rgt-out_binary64_19127`
23×	`neg-mul-1_binary64_19170` `+-commutative_binary64_19104`
22×	`log-prod_binary64_19260` `neg-sub0_binary64_19169`
19×	`cube-prod_binary64_19202` `/-rgt-identity_binary64_19165` `distribute-lft-neg-in_binary64_19131`
17×	`div-exp_binary64_19225` `distribute-rgt-neg-out_binary64_19134`
16×	`log-div_binary64_19261` `prod-exp_binary64_19223` `cube-div_binary64_19203`
15×	`distribute-neg-frac_binary64_19138`
14×	`div-sub_binary64_19179` `pow-sqr_binary64_19147` `swap-sqr_binary64_19141`
10×	`unpow3_binary64_19240` `exp-sum_binary64_19220`
9×	`distribute-lft-out--_binary64_19126`
8×	`associate-+l+_binary64_19107`
7×	`cube-mult_binary64_19204` `distribute-neg-in_binary64_19135` `distribute-rgt-out--_binary64_19128`
6×	`unsub-neg_binary64_19168`
5×	`exp-diff_binary64_19222` `cube-unmult_binary64_19211` `distribute-rgt1-in_binary64_19130` `associate-+r+_binary64_19106`
4×	`rec-exp_binary64_19224` `difference-of-squares_binary64_19143`
3×	`exp-lft-cube_binary64_19230` `distribute-frac-neg_binary64_19137` `associate--l+_binary64_19111` `associate-+r-_binary64_19108`
2×	`rem-sqrt-square_binary64_19187` `rem-square-sqrt_binary64_19186` `+-rgt-identity_binary64_19159` `distribute-lft1-in_binary64_19129` `count-2_binary64_19122` `associate-+l-_binary64_19109`
1×	`log-rec_binary64_19262` `pow-plus_binary64_19237` `1-exp_binary64_19218` `exp-1-e_binary64_19217` `rem-log-exp_binary64_19215` `rem-3cbrt-lft_binary64_19199` `remove-double-neg_binary64_19162` `div0_binary64_19155` `cancel-sign-sub_binary64_19139` `distribute-neg-out_binary64_19136` `associate--r-_binary64_19113` `associate--l-_binary64_19112` `associate--r+_binary64_19110`
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_19437` `erf-erfc_binary64_19436` `erf-odd_binary64_19435` `if-if-and-not_binary64_19434` `if-if-and_binary64_19433` `if-if-or-not_binary64_19432` `if-if-or_binary64_19431` `if-not_binary64_19430` `if-same_binary64_19429` `if-false_binary64_19428` `if-true_binary64_19427` `not-gte_binary64_19426` `not-lte_binary64_19425` `not-gt_binary64_19424` `not-lt_binary64_19423` `gte-same_binary64_19422` `lte-same_binary64_19421` `gt-same_binary64_19420` `lt-same_binary64_19419` `sinh---cosh_binary64_19366` `sinh-+-cosh_binary64_19365` `sinh-cosh_binary64_19364` `tanh-def-c_binary64_19363` `tanh-def-b_binary64_19362` `tanh-def-a_binary64_19361` `cosh-def_binary64_19360` `sinh-def_binary64_19359` `tan-neg_binary64_19306` `cos-neg_binary64_19305` `sin-neg_binary64_19304` `tan-0_binary64_19303` `cos-0_binary64_19302` `sin-0_binary64_19301` `hang-m-tan_binary64_19300` `hang-p-tan_binary64_19299` `hang-m0-tan_binary64_19298` `hang-p0-tan_binary64_19297` `hang-0m-tan_binary64_19296` `hang-0p-tan_binary64_19295` `tan-+PI/2_binary64_19294` `tan-+PI_binary64_19293` `tan-PI_binary64_19292` `tan-PI/3_binary64_19291` `tan-PI/4_binary64_19290` `tan-PI/6_binary64_19289` `cos-+PI/2_binary64_19288` `cos-+PI_binary64_19287` `cos-PI_binary64_19286` `cos-PI/2_binary64_19285` `cos-PI/3_binary64_19284` `cos-PI/4_binary64_19283` `cos-PI/6_binary64_19282` `sin-+PI/2_binary64_19281` `sin-+PI_binary64_19280` `sin-PI_binary64_19279` `sin-PI/2_binary64_19278` `sin-PI/3_binary64_19277` `sin-PI/4_binary64_19276` `sin-PI/6_binary64_19275` `sub-1-sin_binary64_19274` `sub-1-cos_binary64_19273` `-1-add-sin_binary64_19272` `-1-add-cos_binary64_19271` `1-sub-sin_binary64_19270` `1-sub-cos_binary64_19269` `cos-sin-sum_binary64_19268` `log-E_binary64_19264` `log-pow_binary64_19263` `pow-base-0_binary64_19258` `unpow1/3_binary64_19241` `unpow2_binary64_19239` `unpow1/2_binary64_19238` `exp-to-pow_binary64_19236` `pow-base-1_binary64_19234` `unpow0_binary64_19233` `unpow1_binary64_19232` `unpow-1_binary64_19231` `exp-lft-sqr_binary64_19229` `exp-cbrt_binary64_19228` `exp-sqrt_binary64_19227` `exp-neg_binary64_19221` `e-exp-1_binary64_19219` `exp-0_binary64_19216` `rem-exp-log_binary64_19214` `cube-neg_binary64_19201` `rem-3cbrt-rft_binary64_19200` `rem-cbrt-cube_binary64_19198` `rem-cube-cbrt_binary64_19197` `sqr-abs_binary64_19189` `sqr-neg_binary64_19188` `mul-1-neg_binary64_19166` `sub0-neg_binary64_19161` `--rgt-identity_binary64_19160` `+-lft-identity_binary64_19158` `mul0-rgt_binary64_19157` `mul0-lft_binary64_19156` `*-inverses_binary64_19154` `+-inverses_binary64_19153` `lft-mult-inverse_binary64_19152` `rgt-mult-inverse_binary64_19151` `remove-double-div_binary64_19150` `difference-of-sqr--1_binary64_19145` `difference-of-sqr-1_binary64_19144`

Counts

131 → 449

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	2372
1	620	2270
2	1878	2256

prune1.2s (11.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	447	2	449
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	447	11	458

Error

Counts

458 → 11

Compiler

Compiled 11443 to 8450 computations (26.2% saved)

regimes609.0ms (5.9%)

Accuracy

Total 0.4b remaining (99.4%)

Threshold costs 0.4b (99.4%)

Compiler

Compiled 6120 to 5265 computations (14% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_19105`
5×	`+-commutative_binary64_19104`
4×	`sub-neg_binary64_19167`
3×	`neg-mul-1_binary64_19170` `neg-sub0_binary64_19169`
2×	`cancel-sign-sub-inv_binary64_19140` `distribute-rgt-neg-in_binary64_19132`
1×	`distribute-lft-neg-out_binary64_19133` `distribute-lft-neg-in_binary64_19131`
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_19434` `if-if-and_binary64_19433` `if-if-or-not_binary64_19432` `if-if-or_binary64_19431` `if-not_binary64_19430` `if-same_binary64_19429` `if-false_binary64_19428` `if-true_binary64_19427` `tan-0_binary64_19303` `cos-0_binary64_19302` `sin-0_binary64_19301` `unpow1_binary64_19232` `e-exp-1_binary64_19219` `1-exp_binary64_19218` `exp-1-e_binary64_19217` `exp-0_binary64_19216` `sqr-abs_binary64_19189` `sqr-neg_binary64_19188` `unsub-neg_binary64_19168` `mul-1-neg_binary64_19166` `/-rgt-identity_binary64_19165` `-rgt-identity_binary64_19164` `-lft-identity_binary64_19163` `remove-double-neg_binary64_19162` `sub0-neg_binary64_19161` `--rgt-identity_binary64_19160` `+-rgt-identity_binary64_19159` `+-lft-identity_binary64_19158` `cancel-sign-sub_binary64_19139` `distribute-neg-frac_binary64_19138` `distribute-frac-neg_binary64_19137` `distribute-neg-out_binary64_19136` `distribute-neg-in_binary64_19135` `distribute-rgt-neg-out_binary64_19134`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	21	25
2	31	25
3	37	25
4	41	25
5	42	25

Proof

(+ f64 (/ f64 1/3 (sqrt f64 h0)) (- f64 (* f64 3 (* f64 h1 (sqrt f64 h0))) (=> (* f64 3 (sqrt f64 h0)))))
*-commutative_binary64_19105 =>
(+ f64 (/ f64 1/3 (sqrt f64 h0)) (- f64 (* f64 3 (=> (* f64 h1 (sqrt f64 h0)))) (* f64 (sqrt f64 h0) 3)))
*-commutative_binary64_19105 =>
(+ f64 (/ f64 1/3 (sqrt f64 h0)) (- f64 (* f64 3 (* f64 (sqrt f64 h0) h1)) (* f64 (sqrt f64 h0) 3)))

end0.0ms (0%)

sample2.4s (23.7%)

Algorithm

1×

intervals

Results

354.0ms	8000×	body	128	valid
10.0ms	125×	body	128	nan
3.0ms	68×	body	128	invalid

Compiler

Compiled 2038 to 1752 computations (14% saved)

Details

analyze53.0ms (0.5%)

sample28.0ms (0.3%)

simplify607.0ms (5.9%)

prune18.0ms (0.2%)

localize16.0ms (0.2%)

rewrite187.0ms (1.8%)

series411.0ms (4%)

simplify331.0ms (3.2%)

prune421.0ms (4.1%)

localize17.0ms (0.2%)

rewrite198.0ms (1.9%)

series183.0ms (1.8%)

simplify1.1s (10.4%)

prune388.0ms (3.8%)

localize15.0ms (0.1%)

rewrite161.0ms (1.6%)

series249.0ms (2.4%)

simplify686.0ms (6.7%)

prune177.0ms (1.7%)

localize10.0ms (0.1%)

rewrite225.0ms (2.2%)

series304.0ms (3%)

simplify259.0ms (2.5%)

prune1.2s (11.9%)

regimes609.0ms (5.9%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample2.4s (23.7%)

Profiling