Details

analyze4.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample13.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify234.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 4647935950575487/36028797018963968 (.f64 (*.f64 x x) x))
0.1b	(.f64 (.f64 x x) x)
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (.f64 (.f64 x x) x)))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (.f64 (.f64 x x) x)))
0.1b	(.f64 (.f64 x x) x)
0.2b	(.f64 4647935950575487/36028797018963968 (.f64 (*.f64 x x) x))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64_139`
20×	`add-cbrt-cube_binary64_114`
17×	`add-exp-log_binary64_116`
9×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
6×	`add-sqr-sqrt_binary64_100` `pow-prod-up_binary64_148` `pow-plus_binary64_141`
5×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`associate-l_binary64_19` `associate-r_binary64_18`
2×	`pow2_binary64_159` `*-commutative_binary64_9` `pow-sqr_binary64_51`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `rem-3cbrt-lft_binary64_103` `unswap-sqr_binary64_46` `pow3_binary64_161` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

3 → 62

Calls

6 calls:

10.0ms	(.f64 (.f64 x x) x)
9.0ms	(.f64 4647935950575487/36028797018963968 (.f64 (*.f64 x x) x))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (.f64 (.f64 x x) x)))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (.f64 (.f64 x x) x)))
0.0ms	(.f64 4647935950575487/36028797018963968 (.f64 (*.f64 x x) x))

series136.0ms (0.7%)

Counts

3 → 12

Calls

3 calls:

72.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x)))

34.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x))

30.0ms

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

Compiler

Compiled 175 to 157 computations (10.3% saved)

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5400	597

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_100`
12×	`associate-r_binary64_18`
7×	`add-exp-log_binary64_116`
6×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`associate-l_binary64_19` `prod-exp_binary64_127`
2×	`sqr-pow_binary64_50` `pow1_binary64_139`
1×	`cube-mult_binary64_108` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71`

Counts

2 → 43

Calls

4 calls:

6.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series106.0ms (0.5%)

Counts

2 → 9

Calls

2 calls:

74.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
32.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 121 to 109 computations (9.9% saved)

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4867	584
1	4867	584

prune267.0ms (1.3%)

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	91	35	126
Fresh	0	0	0
Picked	0	0	0
Done	0	2	2
Total	91	37	128

Error

Counts

128 → 37

Compiler

Compiled 1223 to 931 computations (23.9% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_100`
12×	`associate-r_binary64_18`
7×	`add-exp-log_binary64_116`
6×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`associate-l_binary64_19` `prod-exp_binary64_127`
2×	`sqr-pow_binary64_50` `pow1_binary64_139`
1×	`cube-mult_binary64_108` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71`

Counts

2 → 43

Calls

4 calls:

7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series113.0ms (0.5%)

Counts

2 → 9

Calls

2 calls:

81.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
33.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 133 to 121 computations (9% saved)

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4933	587
1	4933	587

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_100`
12×	`associate-r_binary64_18`
7×	`add-exp-log_binary64_116`
6×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`associate-l_binary64_19` `prod-exp_binary64_127`
2×	`sqr-pow_binary64_50` `pow1_binary64_139`
1×	`cube-mult_binary64_108` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71`

Counts

2 → 43

Calls

4 calls:

7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series116.0ms (0.6%)

Counts

2 → 9

Calls

2 calls:

79.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
37.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 151 to 139 computations (7.9% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4867	584
1	4867	584

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

1.6b	(log.f64 (exp.f64 (pow.f64 x 3)))
0.0b	(*.f64 4647935950575487/36028797018963968 (log.f64 (exp.f64 (pow.f64 x 3))))
0.0b	(*.f64 4647935950575487/36028797018963968 (log.f64 (exp.f64 (pow.f64 x 3))))
1.6b	(log.f64 (exp.f64 (pow.f64 x 3)))

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`log-pow_binary64_167`
24×	`exp-prod_binary64_130`
16×	`associate-r_binary64_18`
15×	`add-sqr-sqrt_binary64_100`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`log-prod_binary64_164`
6×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106` `pow1_binary64_139`
4×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
3×	`distribute-lft-in_binary64_27` `associate-l_binary64_19` `distribute-rgt-in_binary64_28`
2×	`cube-mult_binary64_108` `add-log-exp_binary64_117` `sqr-pow_binary64_50` `unpow3_binary64_144`
1×	`*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `rem-log-exp_binary64_119` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46`

Counts

2 → 61

Calls

4 calls:

12.0ms	(*.f64 4647935950575487/36028797018963968 (log.f64 (exp.f64 (pow.f64 x 3))))
4.0ms	(log.f64 (exp.f64 (pow.f64 x 3)))
0.0ms	(*.f64 4647935950575487/36028797018963968 (log.f64 (exp.f64 (pow.f64 x 3))))
0.0ms	(log.f64 (exp.f64 (pow.f64 x 3)))

series202.0ms (1%)

Counts

2 → 6

Calls

2 calls:

110.0ms	(*.f64 4647935950575487/36028797018963968 (log.f64 (exp.f64 (pow.f64 x 3))))
92.0ms	(log.f64 (exp.f64 (pow.f64 x 3)))

Compiler

Compiled 124 to 112 computations (9.7% saved)

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5142	530

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

22.9b	(sqrt.f64 (pow.f64 x 3))
22.9b	(sqrt.f64 (pow.f64 x 3))
0.1b	(*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3)))
0.1b	(.f64 4647935950575487/36028797018963968 (.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3))))
0.1b	(.f64 4647935950575487/36028797018963968 (.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3))))
0.1b	(*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3)))
22.9b	(sqrt.f64 (pow.f64 x 3))
22.9b	(sqrt.f64 (pow.f64 x 3))

rewrite54.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`sqrt-prod_binary64_94`
92×	`add-sqr-sqrt_binary64_100`
40×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
31×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
26×	`unswap-sqr_binary64_46`
23×	`swap-sqr_binary64_45`
20×	`rem-sqrt-square_binary64_91` `sqr-pow_binary64_50`
18×	`associate-l_binary64_19`
16×	`associate-r_binary64_18` `pow1_binary64_139`
11×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
8×	`sqrt-pow1_binary64_96` `pow1/2_binary64_158`
6×	`cube-mult_binary64_108` `sqr-abs_binary64_93` `pow-prod-down_binary64_149` `unpow3_binary64_144`
4×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127`
3×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148`
2×	`*-commutative_binary64_9`
1×	`pow2_binary64_159` `sqrt-unprod_binary64_98` `rem-square-sqrt_binary64_90` `pow-plus_binary64_141`

Counts

4 → 176

Calls

8 calls:

15.0ms	(*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3)))
12.0ms	(.f64 4647935950575487/36028797018963968 (.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3))))
3.0ms	(sqrt.f64 (pow.f64 x 3))
3.0ms	(sqrt.f64 (pow.f64 x 3))
0.0ms	(.f64 4647935950575487/36028797018963968 (.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3))))

series89.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 4647935950575487/36028797018963968 (.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3))))
27.0ms	(*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3)))
16.0ms	(sqrt.f64 (pow.f64 x 3))
15.0ms	(sqrt.f64 (pow.f64 x 3))

Compiler

Compiled 352 to 304 computations (13.6% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5309	1603

prune2.4s (11.4%)

Pruning

115 alts after pruning (109 fresh and 6 done)

	Pruned	Kept	Total
New	273	86	359
Fresh	7	23	30
Picked	0	0	0
Done	1	6	7
Total	281	115	396

Error

Counts

396 → 115

Compiler

Compiled 4648 to 3762 computations (19.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968) (log.f64 (exp.f64 (pow.f64 1 3)))))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968) (log.f64 (exp.f64 (pow.f64 1 3)))))
0.2b	(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_100`
12×	`associate-l_binary64_19`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`add-exp-log_binary64_116`
6×	`associate--r+_binary64_14` `log-prod_binary64_164`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`distribute-lft-in_binary64_27` `prod-exp_binary64_127` `distribute-rgt-in_binary64_28` `associate-r_binary64_18`
2×	`sqr-pow_binary64_50` `pow1_binary64_139`
1×	`cube-mult_binary64_108` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71`

Counts

2 → 49

Calls

4 calls:

6.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968) (log.f64 (exp.f64 (pow.f64 1 3)))))
6.0ms	(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968) (log.f64 (exp.f64 (pow.f64 1 3)))))
0.0ms	(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)

series180.0ms (0.9%)

Counts

2 → 9

Calls

2 calls:

148.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968) (log.f64 (exp.f64 (pow.f64 1 3)))))

32.0ms

(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)

Compiler

Compiled 157 to 145 computations (7.6% saved)

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5087	718

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
0.2b	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
8×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
4×	`add-log-exp_binary64_117`
2×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
1×	`-commutative_binary64_9` `associate-l_binary64_19` `flip3--_binary64_82` `diff-log_binary64_170` `associate-r*_binary64_18` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

2 → 34

Calls

4 calls:

7.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
0.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

series113.0ms (0.5%)

Counts

2 → 9

Calls

2 calls:

81.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
32.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

Compiler

Compiled 121 to 109 computations (9.9% saved)

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5542	478

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

27.9b	(cbrt.f64 (pow.f64 x 3))
0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))
0.1b	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))))
0.1b	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))
0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))
27.9b	(cbrt.f64 (pow.f64 x 3))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_109`
18×	`add-exp-log_binary64_116` `pow1_binary64_139`
16×	`associate-r_binary64_18`
15×	`add-cbrt-cube_binary64_114`
13×	`add-sqr-sqrt_binary64_100`
12×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
6×	`add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `cube-prod_binary64_106`
4×	`associate-l_binary64_19`
2×	`cube-mult_binary64_108` `*-commutative_binary64_9` `sqr-pow_binary64_50` `unpow3_binary64_144`
1×	`rem-cbrt-cube_binary64_102` `flip3--_binary64_82` `diff-log_binary64_170` `pow1/3_binary64_160` `flip--_binary64_53` `unswap-sqr_binary64_46` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

4 → 85

Calls

8 calls:

12.0ms	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))
8.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))))
6.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
2.0ms	(cbrt.f64 (pow.f64 x 3))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))))

series176.0ms (0.9%)

Counts

4 → 15

Calls

4 calls:

90.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 1 (.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))))
42.0ms	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))
25.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
19.0ms	(cbrt.f64 (pow.f64 x 3))

Compiler

Compiled 332 to 290 computations (12.7% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4941	923
1	4941	923

localize10.0ms (0%)

Local error

Found 6 expressions with local error:

28.7b	(log.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
1.5b	(exp.f64 (log.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
1.5b	(exp.f64 (log.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
28.7b	(log.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_100`
14×	`add-exp-log_binary64_116`
12×	`associate-r_binary64_18`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`prod-exp_binary64_127`
5×	`add-cbrt-cube_binary64_114` `pow1_binary64_139`
4×	`unpow-prod-down_binary64_157` `rem-log-exp_binary64_119` `unswap-sqr_binary64_46` `exp-prod_binary64_130` `cube-prod_binary64_106`
3×	`associate-l_binary64_19` `add-log-exp_binary64_117`
2×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `sqr-pow_binary64_50` `log-prod_binary64_164` `log-pow_binary64_167`
1×	`cube-mult_binary64_108` `*-commutative_binary64_9` `exp-sum_binary64_124` `cbrt-unprod_binary64_111` `rem-exp-log_binary64_118` `unpow3_binary64_144`

Counts

3 → 57

Calls

6 calls:

7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms	(exp.f64 (log.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
4.0ms	(log.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.0ms	(exp.f64 (log.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))

series189.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

80.0ms	(exp.f64 (log.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
76.0ms	(log.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
32.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 262 to 244 computations (6.9% saved)

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4961	592
1	4961	592

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

22.9b	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.1b	(.f64 (sqrt.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))) (sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
22.9b	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
22.9b	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

rewrite31.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_100`
24×	`associate-r_binary64_18`
14×	`add-exp-log_binary64_116`
12×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`add-cbrt-cube_binary64_114` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
6×	`associate-l_binary64_19` `prod-exp_binary64_127` `pow1_binary64_139`
4×	`add-log-exp_binary64_117` `sqr-pow_binary64_50`
2×	`cube-mult_binary64_108` `sqrt-prod_binary64_94` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `sqrt-pow1_binary64_96` `cbrt-unprod_binary64_111` `pow1/2_binary64_158` `unpow3_binary64_144`

Counts

4 → 82

Calls

8 calls:

7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
4.0ms	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0ms	(.f64 (sqrt.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))) (sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))

series118.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
33.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
26.0ms	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
23.0ms	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

Compiler

Compiled 500 to 444 computations (11.2% saved)

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5035	848

prune5.0s (24%)

Pruning

194 alts after pruning (184 fresh and 10 done)

	Pruned	Kept	Total
New	267	94	361
Fresh	14	90	104
Picked	0	0	0
Done	1	10	11
Total	282	194	476

Error

Counts

476 → 194

Compiler

Compiled 7661 to 6333 computations (17.3% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 4647935950575487/36028797018963968 (.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3)))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (*.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3))))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (*.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3))))
0.2b	(.f64 4647935950575487/36028797018963968 (.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3)))

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64_116`
7×	`add-cbrt-cube_binary64_114` `prod-exp_binary64_127`
4×	`add-log-exp_binary64_117` `pow1_binary64_139`
3×	`add-sqr-sqrt_binary64_100` `associate-l_binary64_19` `cbrt-unprod_binary64_111` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
1×	`-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `flip3--_binary64_82` `diff-log_binary64_170` `associate-r*_binary64_18` `flip--_binary64_53` `pow-prod-down_binary64_149` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

2 → 31

Calls

4 calls:

13.0ms	(.f64 4647935950575487/36028797018963968 (.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3)))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (*.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3))))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (*.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3))))
0.0ms	(.f64 4647935950575487/36028797018963968 (.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3)))

series104.0ms (0.5%)

Counts

2 → 9

Calls

2 calls:

72.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (*.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3))))

33.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 (sqrt.f64 (pow.f64 1 3)) (pow.f64 x 3)))

Compiler

Compiled 121 to 109 computations (9.9% saved)

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5417	455

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 (.f64 x x) -4647935950575487/36028797018963968)
0.1b	(.f64 x (+.f64 2150310427208497/2251799813685248 (.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
0.0b	(+.f64 2150310427208497/2251799813685248 (.f64 (.f64 x x) -4647935950575487/36028797018963968))
0.0b	(+.f64 2150310427208497/2251799813685248 (.f64 (.f64 x x) -4647935950575487/36028797018963968))
0.1b	(.f64 x (+.f64 2150310427208497/2251799813685248 (.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
0.2b	(.f64 (.f64 x x) -4647935950575487/36028797018963968)

rewrite20.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
9×	`add-sqr-sqrt_binary64_100`
6×	`add-cube-cbrt_binary64_113` `associate-r_binary64_18` `*-un-lft-identity_binary64_78`
5×	`add-log-exp_binary64_117`
4×	`associate-l_binary64_19` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
2×	`-commutative_binary64_9` `flip-+_binary64_52` `unswap-sqr_binary64_46` `associate-r/_binary64_20` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `distribute-lft-in_binary64_27` `distribute-rgt-in_binary64_28` `sum-log_binary64_169`

Counts

3 → 52

Calls

6 calls:

6.0ms	(.f64 (.f64 x x) -4647935950575487/36028797018963968)
6.0ms	(.f64 x (+.f64 2150310427208497/2251799813685248 (.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
3.0ms	(+.f64 2150310427208497/2251799813685248 (.f64 (.f64 x x) -4647935950575487/36028797018963968))
0.0ms	(+.f64 2150310427208497/2251799813685248 (.f64 (.f64 x x) -4647935950575487/36028797018963968))
0.0ms	(.f64 x (+.f64 2150310427208497/2251799813685248 (.f64 (*.f64 x x) -4647935950575487/36028797018963968)))

series141.0ms (0.7%)

Counts

3 → 15

Calls

3 calls:

65.0ms

(*.f64 x (+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968)))

49.0ms

(+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968))

26.0ms

(*.f64 (*.f64 x x) -4647935950575487/36028797018963968)

Compiler

Compiled 192 to 172 computations (10.4% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5017	781

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

20.7b	(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
0.2b	(*.f64 4647935950575487/36028797018963968 (cbrt.f64 (pow.f64 (pow.f64 x 3) 3)))
0.1b	(pow.f64 (pow.f64 x 3) 3)
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))
0.1b	(pow.f64 (pow.f64 x 3) 3)
0.2b	(*.f64 4647935950575487/36028797018963968 (cbrt.f64 (pow.f64 (pow.f64 x 3) 3)))
20.7b	(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))

rewrite43.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-prod_binary64_109`
60×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
46×	`add-sqr-sqrt_binary64_100`
33×	`associate-r_binary64_18`
27×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
12×	`sqr-pow_binary64_50`
11×	`unswap-sqr_binary64_46`
9×	`cube-mult_binary64_108` `unpow3_binary64_144`
8×	`add-exp-log_binary64_116`
6×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow1_binary64_139`
4×	`pow-exp_binary64_146`
3×	`associate-l_binary64_19` `pow-unpow_binary64_155`
2×	`pow-to-exp_binary64_147`
1×	`rem-cube-cbrt_binary64_101` `*-commutative_binary64_9` `rem-cbrt-cube_binary64_102` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip3--_binary64_82` `diff-log_binary64_170` `pow1/3_binary64_160` `pow-pow_binary64_150` `flip--_binary64_53` `pow-prod-down_binary64_149` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

4 → 152

Calls

8 calls:

15.0ms	(*.f64 4647935950575487/36028797018963968 (cbrt.f64 (pow.f64 (pow.f64 x 3) 3)))
5.0ms	(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
5.0ms	(pow.f64 (pow.f64 x 3) 3)
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))

series214.0ms (1%)

Counts

4 → 15

Calls

4 calls:

88.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))
44.0ms	(pow.f64 (pow.f64 x 3) 3)
43.0ms	(*.f64 4647935950575487/36028797018963968 (cbrt.f64 (pow.f64 (pow.f64 x 3) 3)))
39.0ms	(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))

Compiler

Compiled 260 to 236 computations (9.2% saved)

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4904	1601
1	4904	1601

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.1b	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)
0.1b	(.f64 (sqrt.f64 (.f64 (.f64 4647935950575487/36028797018963968 (.f64 x x)) x)) (sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))
22.9b	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
22.9b	(sqrt.f64 (.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

rewrite33.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64_139`
17×	`add-sqr-sqrt_binary64_100`
14×	`add-exp-log_binary64_116`
13×	`associate-r_binary64_18`
11×	`add-cbrt-cube_binary64_114`
9×	`add-cube-cbrt_binary64_113` `pow-prod-down_binary64_149` `*-un-lft-identity_binary64_78`
6×	`associate-l_binary64_19` `prod-exp_binary64_127`
5×	`sqrt-pow1_binary64_96` `unswap-sqr_binary64_46`
4×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `unpow-prod-down_binary64_157` `cube-prod_binary64_106`
2×	`sqrt-prod_binary64_94` `*-commutative_binary64_9` `sqr-pow_binary64_50` `pow1/2_binary64_158`
1×	`cube-mult_binary64_108` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `unpow3_binary64_144`

Counts

4 → 73

Calls

8 calls:

10.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
6.0ms	(sqrt.f64 (.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))
6.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
4.0ms	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0ms	(.f64 (sqrt.f64 (.f64 (.f64 4647935950575487/36028797018963968 (.f64 x x)) x)) (sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))

series109.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
28.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
24.0ms	(sqrt.f64 (.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))
21.0ms	(sqrt.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

Compiler

Compiled 536 to 450 computations (16% saved)

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4816	741
1	4816	741

localize15.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.2b	(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)
0.0b	(-.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) (log.f64 1))) (.f64 (log.f64 (exp.f64 (pow.f64 1 3))) (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)))
0.0b	(-.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) (log.f64 1))) (.f64 (log.f64 (exp.f64 (pow.f64 1 3))) (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)))
0.2b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
0.2b	(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_100`
15×	`associate-l_binary64_19` `associate-r_binary64_18`
13×	`add-exp-log_binary64_116`
11×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
7×	`add-cbrt-cube_binary64_114`
6×	`prod-exp_binary64_127`
4×	`sqr-pow_binary64_50`
3×	`diff-log_binary64_170` `pow1_binary64_139`
2×	`cube-mult_binary64_108` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `associate--l+_binary64_15` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71`
1×	`flip3--_binary64_82` `flip--_binary64_53` `associate--l-_binary64_16`

Counts

3 → 78

Calls

6 calls:

9.0ms	(-.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) (log.f64 1))) (.f64 (log.f64 (exp.f64 (pow.f64 1 3))) (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)))
6.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
6.0ms	(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)
0.0ms	(-.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) (log.f64 1))) (.f64 (log.f64 (exp.f64 (pow.f64 1 3))) (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)))
0.0ms	(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)

series210.0ms (1%)

Counts

3 → 12

Calls

3 calls:

138.0ms

(-.f64 (-.f64 (*.f64 x 2150310427208497/2251799813685248) (*.f64 (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)) (log.f64 1))) (*.f64 (log.f64 (exp.f64 (pow.f64 1 3))) (*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)))

37.0ms

(*.f64 (pow.f64 x 3) 4647935950575487/36028797018963968)

35.0ms

(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 355 to 325 computations (8.5% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5146	1091

prune6.9s (33.5%)

Pruning

282 alts after pruning (267 fresh and 15 done)

	Pruned	Kept	Total
New	348	101	449
Fresh	13	166	179
Picked	0	0	0
Done	0	15	15
Total	361	282	643

Error

Counts

643 → 282

Compiler

Compiled 4888 to 3819 computations (21.9% saved)

simplify261.0ms (1.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4954	15388
1	4954	15388

regimes650.0ms (3.1%)

Compiler: Compiled 6175 to 5190 computations (16% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.1%)

Compiler: Compiled 71 to 59 computations (16.9% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.1%)

Compiler: Compiled 33 to 30 computations (9.1% saved)

bsearch0.0ms (0%)

regimes11.0ms (0.1%)

Compiler: Compiled 24 to 23 computations (4.2% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.1%)

Compiler: Compiled 15 to 16 computations (-6.7% saved)

bsearch29.0ms (0.1%)

Steps

Iters	Range		Point
9	0.02548230018355751	4690.319145173923	2.7052744287125225
9	-11704.435736568661	-0.158796020026768	-2.7146124056945085

Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0%)

Compiler: Compiled 8 to 11 computations (-37.5% saved)

bsearch0.0ms (0%)

regimes11.0ms (0.1%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch5.0ms (0%)

Compiler: Compiled 68 to 53 computations (22.1% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	110	89
1	110	89

end0.0ms (0%)

sample791.0ms (3.8%)

Algorithm

1×

intervals

Results

234.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 6309 to 5300 computations (16% saved)