Details

analyze928.0ms (11.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5154	161
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample32.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
1.0ms	17×	body	128	invalid
1.0ms	4×	body	512	valid
1.0ms	3×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5155	23

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

2.5b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b	(tanh.f64 (/.f64 t y))
2.9b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite143.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

18×	`frac-sub_binary64_10999`
15×	`cancel-sign-sub-inv_binary64_10956`
14×	`add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
13×	`tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177`
11×	`associate-*r/_binary64_10932`
10×	`add-cube-cbrt_binary64_11025`
9×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
8×	`add-log-exp_binary64_11029` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `associate-+r+_binary64_10922`
5×	`sub-neg_binary64_10983` `associate-r_binary64_10930`
3×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
2×	`flip3--_binary64_10994` `flip--_binary64_10965` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
1×	`associate-l_binary64_10931` `*-commutative_binary64_10921` `diff-log_binary64_11082` `sum-log_binary64_11081` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
5.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 3113 to 825 computations (73.5% saved)

series2.5s (30.6%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

953.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
939.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
428.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
102.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 6019 to 4060 computations (32.5% saved)

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4977	4915
1	4977	4915

prune163.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	4	145

Error

Counts

145 → 4

Compiler

Compiled 4294 to 1460 computations (66% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x)))
0.0b	(tanh.f64 (/.f64 t y))
0.0b	(-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x))
3.6b	(.f64 (.f64 z y) (tanh.f64 (/.f64 t y)))

rewrite77.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-log-exp_binary64_11029`
9×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
7×	`*-un-lft-identity_binary64_10990`
5×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012`
3×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `associate-r/_binary64_10932` `associate-r*_binary64_10930`
2×	`tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177` `diff-log_binary64_11082` `sub-neg_binary64_10983` `cancel-sign-sub-inv_binary64_10956` `sum-log_binary64_11081` `associate-+r+_binary64_10922`
1×	`associate-l_binary64_10931` `*-commutative_binary64_10921` `flip3--_binary64_10994` `flip--_binary64_10965` `flip3-+_binary64_10993` `flip-+_binary64_10964` `distribute-lft-out_binary64_10941` `associate-+r-_binary64_10924` `+-commutative_binary64_10920`

Counts

4 → 59

Calls

4 calls:

8.0ms	(-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x))
7.0ms	(.f64 (.f64 z y) (tanh.f64 (/.f64 t y)))
6.0ms	(+.f64 x (-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x)))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 1413 to 292 computations (79.3% saved)

series1.6s (19.4%)

Error

Counts

4 → 52

Calls

4 calls:

575.0ms	(+.f64 x (-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x)))
545.0ms	(-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x))
314.0ms	(.f64 (.f64 z y) (tanh.f64 (/.f64 t y)))
106.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 3669 to 2404 computations (34.5% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5024	1761

prune72.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	111	4	115

Error

Counts

115 → 4

Compiler

Compiled 1808 to 340 computations (81.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 z (-.f64 t x))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_11012`
7×	`*-un-lft-identity_binary64_10990`
6×	`cancel-sign-sub-inv_binary64_10956`
5×	`add-cube-cbrt_binary64_11025` `associate-r_binary64_10930`
4×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `associate-l_binary64_10931`
2×	`sub-neg_binary64_10983` `associate-*r/_binary64_10932`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `add-log-exp_binary64_11029` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `flip3--_binary64_10994` `flip--_binary64_10965` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `*-commutative_binary64_10921`

Counts

1 → 30

Calls

1 calls:

8.0ms

(*.f64 z (-.f64 t x))

Compiler

Compiled 398 to 142 computations (64.3% saved)

series107.0ms (1.3%)

Error

Counts

1 → 15

Calls

1 calls:

100.0ms

(*.f64 z (-.f64 t x))

Compiler

Compiled 297 to 201 computations (32.3% saved)

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5688	386

prune26.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	45	4	49

Error

Counts

49 → 4

Compiler

Compiled 451 to 103 computations (77.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
3.6b	(.f64 (.f64 z y) (tanh.f64 (/.f64 t y)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
3×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `add-cube-cbrt_binary64_11025` `cbrt-unprod_binary64_11023` `add-sqr-sqrt_binary64_11012` `-un-lft-identity_binary64_10990` `associate-r/_binary64_10932` `associate-r_binary64_10930`
2×	`add-log-exp_binary64_11029` `tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177`
1×	`associate-l_binary64_10931` `*-commutative_binary64_10921`

Counts

2 → 31

Calls

2 calls:

6.0ms	(.f64 (.f64 z y) (tanh.f64 (/.f64 t y)))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 503 to 137 computations (72.8% saved)

series528.0ms (6.5%)

Error

Counts

2 → 21

Calls

2 calls:

364.0ms	(.f64 (.f64 z y) (tanh.f64 (/.f64 t y)))
146.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 1035 to 790 computations (23.7% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4959	672
1	4959	672

prune29.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Error

Counts

56 → 4

Compiler

Compiled 628 to 166 computations (73.6% saved)

regimes251.0ms (3.1%)

Accuracy

Total 1.9b remaining (99%)

Threshold costs 0b (0%)

Compiler

Compiled 2625 to 1826 computations (30.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	23
1	26	23

end0.0ms (0%)

sample1.3s (15.5%)

Algorithm

1×

intervals

Results

398.0ms	7764×	body	128	valid
27.0ms	548×	body	128	invalid
15.0ms	75×	body	1024	valid
12.0ms	90×	body	512	valid
7.0ms	70×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 551 to 385 computations (30.1% saved)

Details

analyze928.0ms (11.4%)

sample32.0ms (0.4%)

simplify60.0ms (0.7%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite143.0ms (1.7%)

series2.5s (30.6%)

simplify108.0ms (1.3%)

prune163.0ms (2%)

localize10.0ms (0.1%)

rewrite77.0ms (0.9%)

series1.6s (19.4%)

simplify73.0ms (0.9%)

prune72.0ms (0.9%)

localize5.0ms (0.1%)

rewrite27.0ms (0.3%)

series107.0ms (1.3%)

simplify50.0ms (0.6%)

prune26.0ms (0.3%)

localize6.0ms (0.1%)

rewrite29.0ms (0.4%)

series528.0ms (6.5%)

simplify77.0ms (0.9%)

prune29.0ms (0.4%)

regimes251.0ms (3.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (15.5%)

Profiling