Details

analyze233.0ms (8.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13
0	1	1
1	1	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)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify147.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13

prune7.0ms (0.3%)

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

Merged error: 0.1b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.5%)

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

2 calls:

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

series86.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
26.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify92.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4867	566
1	4867	566

prune57.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	7	51

Merged error: 0b

Counts

51 → 7

Compiler

Compiled 771 to 589 computations (23.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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 (0.5%)

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

2 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)))

series86.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
26.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

simplify73.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5524	460

prune38.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	40	7	47

Merged error: 0b

Counts

47 → 7

Compiler

Compiled 610 to 452 computations (25.9% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

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)

rewrite18.0ms (0.7%)

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

3 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))

series114.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

63.0ms

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

34.0ms

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

18.0ms

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

simplify81.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4891	748
1	4891	748

prune55.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	61	7	68

Merged error: 0b

Counts

68 → 7

Compiler

Compiled 899 to 592 computations (34.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))))
0.6b	(cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.6b	(cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
0.6b	(cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_109`
23×	`add-sqr-sqrt_binary64_100`
18×	`cbrt-div_binary64_110`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
9×	`flip3--_binary64_82` `pow1/3_binary64_160` `flip--_binary64_53`
6×	`associate-l_binary64_19` `swap-sqr_binary64_45` `associate-r_binary64_18` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `frac-times_binary64_88` `unswap-sqr_binary64_46`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `associate-r/_binary64_20`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-plus_binary64_141`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))

series295.0ms (11.3%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (*.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))))
74.0ms	(cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
73.0ms	(cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))
69.0ms	(cbrt.f64 (-.f64 (.f64 x 2150310427208497/2251799813685248) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3))))

simplify107.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4923	2816
1	4923	2816

prune220.0ms (8.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	99	7	106

Merged error: 0b

Counts

106 → 7

Compiler

Compiled 3984 to 3247 computations (18.5% saved)

regimes78.0ms (3%)

Compiler: Compiled 724 to 584 computations (19.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample729.0ms (27.8%)

Algorithm

1×

intervals

Results

225.0ms

8000×

body

128

valid

Compiler

Compiled 371 to 301 computations (18.9% saved)

Details

analyze233.0ms (8.9%)

sample12.0ms (0.4%)

simplify147.0ms (5.6%)

prune7.0ms (0.3%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series86.0ms (3.3%)

simplify92.0ms (3.5%)

prune57.0ms (2.2%)

localize6.0ms (0.2%)

rewrite14.0ms (0.5%)

series86.0ms (3.3%)

simplify73.0ms (2.8%)

prune38.0ms (1.4%)

localize5.0ms (0.2%)

rewrite18.0ms (0.7%)

series114.0ms (4.4%)

simplify81.0ms (3.1%)

prune55.0ms (2.1%)

localize10.0ms (0.4%)

rewrite34.0ms (1.3%)

series295.0ms (11.3%)

simplify107.0ms (4.1%)

prune220.0ms (8.4%)

regimes78.0ms (3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample729.0ms (27.8%)

Profiling