Details

analyze872.0ms (18.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

694×	`div-sub_binary64`
602×	`neg-mul-1_binary64`
550×	`sub-neg_binary64`
311×	`associate-/r*_binary64`
286×	`distribute-neg-frac_binary64`
242×	`associate-/l/_binary64`
222×	`associate-/r/_binary64`
219×	`distribute-frac-neg_binary64`
217×	`times-frac_binary64`
208×	`distribute-rgt-neg-out_binary64`
199×	`associate-*l/_binary64`
188×	`associate-/l*_binary64`
184×	`distribute-lft-in_binary64` `*-commutative_binary64`
171×	`distribute-rgt-in_binary64`
163×	`cancel-sign-sub-inv_binary64`
127×	`cancel-sign-sub_binary64`
120×	`associate-*r/_binary64`
118×	`associate-l_binary64`
114×	`unsub-neg_binary64`
113×	`associate-r_binary64`
104×	`neg-sub0_binary64`
92×	`associate-+l+_binary64`
82×	`distribute-neg-in_binary64` `+-commutative_binary64`
81×	`associate-+r+_binary64`
76×	`distribute-rgt-neg-in_binary64` `associate-+l-_binary64`
69×	`distribute-lft-neg-in_binary64`
67×	`/-rgt-identity_binary64`
53×	`associate--r+_binary64`
52×	`*-lft-identity_binary64`
51×	`associate-+r-_binary64`
49×	`sub0-neg_binary64`
40×	`*-rgt-identity_binary64`
34×	`distribute-lft-neg-out_binary64`
30×	`distribute-neg-out_binary64`
26×	`div0_binary64` `associate--l+_binary64`
24×	`distribute-rgt-out_binary64`
18×	`--rgt-identity_binary64` `associate--r-_binary64` `associate--l-_binary64`
17×	`distribute-rgt-out--_binary64`
13×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64`
7×	`cube-prod_binary64` `mul0-lft_binary64` `swap-sqr_binary64`
6×	`distribute-rgt1-in_binary64`
5×	`cube-div_binary64` `+-lft-identity_binary64`
4×	`mul-1-neg_binary64` `*-inverses_binary64`
3×	`sqr-neg_binary64` `distribute-lft1-in_binary64`
2×	`cube-neg_binary64` `distribute-lft-out--_binary64`
1×	`unpow3_binary64` `1-exp_binary64` `cube-unmult_binary64` `cube-mult_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `sqr-pow_binary64` `difference-of-sqr-1_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample69.0ms (1.5%)

Algorithm

1×

intervals

Results

36.0ms	115×	body	2048	valid
15.0ms	75×	body	1024	valid
5.0ms	36×	body	512	valid
1.0ms	14×	body	256	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

694×	`div-sub_binary64`
602×	`neg-mul-1_binary64`
550×	`sub-neg_binary64`
311×	`associate-/r*_binary64`
286×	`distribute-neg-frac_binary64`
242×	`associate-/l/_binary64`
222×	`associate-/r/_binary64`
219×	`distribute-frac-neg_binary64`
217×	`times-frac_binary64`
208×	`distribute-rgt-neg-out_binary64`
199×	`associate-*l/_binary64`
188×	`associate-/l*_binary64`
184×	`distribute-lft-in_binary64` `*-commutative_binary64`
171×	`distribute-rgt-in_binary64`
163×	`cancel-sign-sub-inv_binary64`
127×	`cancel-sign-sub_binary64`
120×	`associate-*r/_binary64`
118×	`associate-l_binary64`
114×	`unsub-neg_binary64`
113×	`associate-r_binary64`
104×	`neg-sub0_binary64`
92×	`associate-+l+_binary64`
82×	`distribute-neg-in_binary64` `+-commutative_binary64`
81×	`associate-+r+_binary64`
76×	`distribute-rgt-neg-in_binary64` `associate-+l-_binary64`
69×	`distribute-lft-neg-in_binary64`
67×	`/-rgt-identity_binary64`
53×	`associate--r+_binary64`
52×	`*-lft-identity_binary64`
51×	`associate-+r-_binary64`
49×	`sub0-neg_binary64`
40×	`*-rgt-identity_binary64`
34×	`distribute-lft-neg-out_binary64`
30×	`distribute-neg-out_binary64`
26×	`div0_binary64` `associate--l+_binary64`
24×	`distribute-rgt-out_binary64`
18×	`--rgt-identity_binary64` `associate--r-_binary64` `associate--l-_binary64`
17×	`distribute-rgt-out--_binary64`
13×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64`
7×	`cube-prod_binary64` `mul0-lft_binary64` `swap-sqr_binary64`
6×	`distribute-rgt1-in_binary64`
5×	`cube-div_binary64` `+-lft-identity_binary64`
4×	`mul-1-neg_binary64` `*-inverses_binary64`
3×	`sqr-neg_binary64` `distribute-lft1-in_binary64`
2×	`cube-neg_binary64` `distribute-lft-out--_binary64`
1×	`unpow3_binary64` `1-exp_binary64` `cube-unmult_binary64` `cube-mult_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `sqr-pow_binary64` `difference-of-sqr-1_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.6b

Counts

1 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l*_binary64`
2×	`add-log-exp_binary64`
1×	`acos-asin_binary64` `unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 27

Calls

2 calls:

5.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 521 to 324 computations (37.8% saved)

series17.0ms (0.4%)

Error

0.6b

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
7.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 196 to 174 computations (11.2% saved)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

644×	`associate-/l*_binary64`
586×	`div-sub_binary64`
402×	`associate-/r*_binary64`
313×	`associate-/r/_binary64`
258×	`associate-/l/_binary64`
227×	`associate-*l/_binary64`
175×	`associate-*r/_binary64`
168×	`*-commutative_binary64`
166×	`associate-l_binary64`
125×	`associate-r_binary64`
122×	`unswap-sqr_binary64`
119×	`times-frac_binary64`
117×	`distribute-neg-frac_binary64`
100×	`cancel-sign-sub-inv_binary64`
92×	`distribute-rgt-neg-in_binary64`
86×	`distribute-lft-neg-in_binary64`
56×	`sqr-pow_binary64`
48×	`distribute-rgt-in_binary64`
46×	`log-prod_binary64` `sub-neg_binary64` `distribute-lft-in_binary64`
44×	`exp-prod_binary64`
36×	`cube-prod_binary64`
26×	`neg-mul-1_binary64` `neg-sub0_binary64`
19×	`log-div_binary64` `cube-div_binary64`
15×	`pow-sqr_binary64`
14×	`pow-plus_binary64`
11×	`log-pow_binary64` `distribute-frac-neg_binary64` `+-commutative_binary64`
10×	`unpow3_binary64`
8×	`cube-unmult_binary64` `swap-sqr_binary64`
6×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
5×	`div0_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64`
4×	`*-inverses_binary64` `associate-+r+_binary64`
3×	`unsub-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `difference-of-sqr-1_binary64` `count-2_binary64`
2×	`rem-sqrt-square_binary64` `sub0-neg_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `associate-+r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

33 → 15

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	544
1	106	465
2	243	456
3	627	456
4	1436	456
5	4344	456
6	5447	456

prune10.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

0.6b

Counts

16 → 2

Compiler

Compiled 136 to 96 computations (29.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

rewrite75.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

12×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `pow1/3_binary64` `rem-cbrt-cube_binary64` `acos-asin_binary64` `unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
2.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1687 to 1124 computations (33.4% saved)

series46.0ms (1%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
8.0ms	(.f64 5 (.f64 v v))
8.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
7.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))

Compiler

Compiled 438 to 402 computations (8.2% saved)

simplify148.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

530×	`associate-l_binary64`
455×	`log-prod_binary64`
429×	`associate-r_binary64`
399×	`exp-prod_binary64`
363×	`cube-prod_binary64`
241×	`unswap-sqr_binary64`
171×	`associate-/l*_binary64`
156×	`unpow3_binary64`
155×	`swap-sqr_binary64`
133×	`sqr-pow_binary64`
119×	`times-frac_binary64`
110×	`cube-mult_binary64`
94×	`pow-plus_binary64`
83×	`log-pow_binary64`
66×	`*-commutative_binary64`
65×	`distribute-rgt-in_binary64`
60×	`distribute-lft-in_binary64` `associate-/r*_binary64`
46×	`associate-+l+_binary64`
44×	`pow-sqr_binary64`
42×	`associate-+r+_binary64`
33×	`cancel-sign-sub-inv_binary64` `associate-*r/_binary64`
31×	`distribute-neg-frac_binary64` `associate-/r/_binary64`
27×	`associate-/l/_binary64`
26×	`distribute-rgt-neg-in_binary64` `associate-*l/_binary64`
25×	`distribute-lft-neg-in_binary64`
24×	`cube-unmult_binary64`
23×	`div-sub_binary64`
18×	`sub-neg_binary64`
13×	`neg-mul-1_binary64` `neg-sub0_binary64` `count-2_binary64` `+-commutative_binary64`
12×	`distribute-rgt-out_binary64`
10×	`rem-sqrt-square_binary64`
6×	`distribute-lft-out_binary64`
5×	`-rgt-identity_binary64` `-lft-identity_binary64`
4×	`unpow2_binary64` `rem-cbrt-cube_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `difference-of-sqr-1_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `*-inverses_binary64` `difference-of-sqr--1_binary64` `distribute-lft-neg-out_binary64` `associate-+r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

83 → 54

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	95	2204
1	168	1905
2	457	1884
3	2062	1884
4	4476	1881
5	4898	1881
6	4883	1881

prune23.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	52	4	56

Error

0.6b

Counts

56 → 4

Compiler

Compiled 574 to 388 computations (32.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite100.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

30×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`swap-sqr_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `rem-sqrt-square_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64` `acos-asin_binary64`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 2990 to 1906 computations (36.3% saved)

series47.0ms (1%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
13.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
9.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
8.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

Compiler

Compiled 718 to 588 computations (18.1% saved)

simplify133.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

663×	`associate-/l*_binary64`
518×	`div-sub_binary64`
481×	`unswap-sqr_binary64`
329×	`associate-/r/_binary64`
269×	`associate-/l/_binary64`
120×	`associate-l_binary64`
119×	`times-frac_binary64`
117×	`distribute-neg-frac_binary64`
103×	`*-commutative_binary64`
100×	`cancel-sign-sub-inv_binary64`
95×	`sqr-pow_binary64`
93×	`log-prod_binary64`
91×	`distribute-rgt-neg-in_binary64`
87×	`exp-prod_binary64`
85×	`distribute-lft-neg-in_binary64`
74×	`associate-r_binary64`
72×	`distribute-rgt-in_binary64`
69×	`swap-sqr_binary64` `associate-/r*_binary64`
68×	`distribute-lft-in_binary64`
61×	`cube-prod_binary64`
46×	`sub-neg_binary64`
34×	`associate-+l+_binary64`
30×	`associate-*r/_binary64` `associate-+r+_binary64`
29×	`pow-plus_binary64`
28×	`rem-sqrt-square_binary64` `pow-sqr_binary64`
26×	`neg-mul-1_binary64` `neg-sub0_binary64`
23×	`associate-*l/_binary64`
16×	`unpow3_binary64` `cube-unmult_binary64`
13×	`log-pow_binary64`
12×	`*-rgt-identity_binary64`
11×	`*-lft-identity_binary64` `distribute-frac-neg_binary64`
9×	`+-commutative_binary64`
7×	`unpow1/2_binary64` `count-2_binary64`
6×	`unpow2_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
5×	`log-div_binary64` `cube-mult_binary64` `cube-div_binary64` `div0_binary64`
4×	`unpow1_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64`
3×	`unsub-neg_binary64` `difference-of-sqr-1_binary64`
2×	`sub0-neg_binary64` `associate-+l-_binary64`
1×	`exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

96 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	2707
1	99	2450
2	240	2374
3	596	2247
4	1535	2247
5	4615	2247
6	5552	2247

prune36.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	67	5	72

Error

0.6b

Counts

72 → 5

Compiler

Compiled 1124 to 732 computations (34.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))

rewrite125.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

75×	`sqrt-prod_binary64`
63×	`add-sqr-sqrt_binary64`
24×	`unswap-sqr_binary64` `associate-r_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `associate-l_binary64`
7×	`pow1_binary64`
6×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`prod-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-up_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `unpow3_binary64` `cube-mult_binary64` `*-commutative_binary64` `acos-asin_binary64`

Counts

4 → 104

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 3490 to 2340 computations (33% saved)

series52.0ms (1.1%)

Error

0.6b

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
13.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
10.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
8.0ms	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))

Compiler

Compiled 798 to 668 computations (16.3% saved)

simplify168.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

551×	`times-frac_binary64`
343×	`distribute-rgt-in_binary64`
287×	`sqr-pow_binary64`
206×	`*-commutative_binary64`
182×	`exp-prod_binary64`
181×	`log-prod_binary64`
163×	`associate-/l*_binary64`
150×	`cube-prod_binary64`
140×	`unswap-sqr_binary64`
129×	`associate-+l+_binary64`
119×	`associate-/r*_binary64` `associate-+r+_binary64`
109×	`pow-sqr_binary64`
104×	`div-sub_binary64`
92×	`associate-l_binary64`
87×	`distribute-neg-frac_binary64`
83×	`swap-sqr_binary64`
81×	`associate-r_binary64`
78×	`cancel-sign-sub-inv_binary64`
54×	`distribute-lft-in_binary64`
53×	`distribute-rgt-neg-in_binary64`
50×	`distribute-lft-neg-in_binary64`
46×	`sub-neg_binary64` `distribute-rgt-out_binary64`
43×	`unpow3_binary64`
40×	`associate-/r/_binary64`
39×	`associate-*r/_binary64`
38×	`cube-mult_binary64`
33×	`log-pow_binary64`
32×	`rem-sqrt-square_binary64` `distribute-lft-out_binary64`
31×	`pow-plus_binary64`
27×	`associate-/l/_binary64`
23×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-*l/_binary64`
10×	`cube-unmult_binary64`
9×	`*-rgt-identity_binary64` `distribute-frac-neg_binary64` `+-commutative_binary64`
8×	`*-lft-identity_binary64` `count-2_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`unpow2_binary64`
5×	`unpow1/2_binary64` `div0_binary64` `distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64`
4×	`rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64`
3×	`unpow1_binary64` `rem-cbrt-cube_binary64` `unsub-neg_binary64` `difference-of-sqr-1_binary64`
2×	`sub0-neg_binary64` `*-inverses_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `associate-+r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

116 → 89

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	96	5317
1	177	4214
2	474	4080
3	1086	4080
4	2719	3934
5	4843	3934

prune46.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	89	5	94

Error

0.6b

Counts

94 → 5

Compiler

Compiled 1548 to 1034 computations (33.2% saved)

regimes232.0ms (5%)

Accuracy

Total 0.0b remaining (2.2%)

Threshold costs 0.0b (2.2%)

Compiler

Compiled 5362 to 3816 computations (28.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`sub-neg_binary64` `+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`1-exp_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	27	33
2	34	33
3	41	33
4	46	33
5	49	33
6	50	33
7	47	33

end1.0ms (0%)

Compiler: Compiled 21 to 17 computations (19% saved)

sample2.2s (47.9%)

Algorithm

1×

intervals

Results

1.1s	3987×	body	2048	valid
402.0ms	2005×	body	1024	valid
145.0ms	996×	body	512	valid
53.0ms	509×	body	256	valid
26.0ms	501×	body	128	valid
1.0ms	2×	body	4096	valid
0.0ms	10×	body	128	nan

Compiler

Compiled 197 to 149 computations (24.4% saved)

Details

analyze872.0ms (18.8%)

sample69.0ms (1.5%)

simplify74.0ms (1.6%)

prune1.0ms (0%)

localize8.0ms (0.2%)

rewrite36.0ms (0.8%)

series17.0ms (0.4%)

simplify61.0ms (1.3%)

prune10.0ms (0.2%)

localize10.0ms (0.2%)

rewrite75.0ms (1.6%)

series46.0ms (1%)

simplify148.0ms (3.2%)

prune23.0ms (0.5%)

localize10.0ms (0.2%)

rewrite100.0ms (2.1%)

series47.0ms (1%)

simplify133.0ms (2.9%)

prune36.0ms (0.8%)

localize14.0ms (0.3%)

rewrite125.0ms (2.7%)

series52.0ms (1.1%)

simplify168.0ms (3.6%)

prune46.0ms (1%)

regimes232.0ms (5%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample2.2s (47.9%)

Profiling