Details

analyze863.0ms (5.1%)

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)

sample27.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
1.0ms	4×	body	1024	valid
1.0ms	16×	body	128	invalid
1.0ms	4×	body	512	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

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

6.3b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.3b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
6.9b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite118.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

18×	`frac-sub_binary64_6907`
13×	`tanh-def-c_binary64_7087` `tanh-def-b_binary64_7086` `tanh-def-a_binary64_7085`
11×	`add-sqr-sqrt_binary64_6920` `-un-lft-identity_binary64_6898` `associate-r/_binary64_6840`
9×	`cancel-sign-sub-inv_binary64_6864`
8×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
7×	`add-cube-cbrt_binary64_6933`
5×	`add-log-exp_binary64_6937` `associate-r_binary64_6838`
4×	`distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847`
3×	`pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `sub-neg_binary64_6891`
2×	`flip3--_binary64_6902` `flip--_binary64_6873` `difference-of-squares_binary64_6867` `distribute-lft-out--_binary64_6850`
1×	`associate-l_binary64_6839` `*-commutative_binary64_6829` `diff-log_binary64_6990`

Counts

3 → 74

Calls

3 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)))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 2563 to 773 computations (69.8% saved)

series1.7s (10.2%)

Error

0.8b

Counts

3 → 40

Calls

3 calls:

1.0s	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
503.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
145.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 4417 to 3074 computations (30.4% saved)

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5082	3936

prune136.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	4	115

Error

0.3b

Counts

115 → 4

Compiler

Compiled 3577 to 1323 computations (63% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.3b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
1.1b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.5b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite182.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

33×	`associate-*r/_binary64_6840`
27×	`frac-sub_binary64_6907`
21×	`cancel-sign-sub-inv_binary64_6864`
20×	`add-sqr-sqrt_binary64_6920` `distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847`
19×	`tanh-def-c_binary64_7087` `tanh-def-b_binary64_7086` `tanh-def-a_binary64_7085`
18×	`*-un-lft-identity_binary64_6898`
14×	`add-cube-cbrt_binary64_6933`
11×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
7×	`sub-neg_binary64_6891`
6×	`add-log-exp_binary64_6937` `associate-l_binary64_6839` `associate-r_binary64_6838`
4×	`pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931`
3×	`flip3--_binary64_6902` `flip--_binary64_6873`
2×	`*-commutative_binary64_6829` `difference-of-squares_binary64_6867` `distribute-lft-out--_binary64_6850`
1×	`unswap-sqr_binary64_6866` `diff-log_binary64_6990`

Counts

4 → 119

Calls

4 calls:

14.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms	(*.f64 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)))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 4022 to 1230 computations (69.4% saved)

series2.6s (15.5%)

Error

0.3b

Counts

4 → 57

Calls

4 calls:

1.0s	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
885.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
487.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
136.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 6655 to 4656 computations (30% saved)

simplify121.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4982	6029
1	4982	6029

prune189.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	175	5	180

Error

0.3b

Counts

180 → 5

Compiler

Compiled 5473 to 2013 computations (63.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
1.1b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.5b	(.f64 y (cbrt.f64 (pow.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3)))
24.9b	(cbrt.f64 (pow.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))

rewrite243.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

44×	`associate-*r/_binary64_6840`
36×	`frac-sub_binary64_6907`
24×	`tanh-def-c_binary64_7087` `tanh-def-b_binary64_7086` `tanh-def-a_binary64_7085` `add-sqr-sqrt_binary64_6920`
22×	`cube-div_binary64_6927` `cbrt-div_binary64_6930`
18×	`cbrt-prod_binary64_6929`
17×	`*-un-lft-identity_binary64_6898`
16×	`associate-r_binary64_6838`
13×	`add-cube-cbrt_binary64_6933`
9×	`cancel-sign-sub-inv_binary64_6864`
8×	`pow1_binary64_6959` `add-exp-log_binary64_6936`
7×	`add-cbrt-cube_binary64_6934`
6×	`add-log-exp_binary64_6937` `associate-l_binary64_6839`
4×	`flip3--_binary64_6902` `flip--_binary64_6873` `unswap-sqr_binary64_6866` `distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847`
3×	`sqr-pow_binary64_6870` `sub-neg_binary64_6891`
2×	`unpow-prod-down_binary64_6977` `unpow3_binary64_6964` `cube-mult_binary64_6928` `cube-prod_binary64_6926` `pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829` `difference-of-squares_binary64_6867` `distribute-lft-out--_binary64_6850`
1×	`pow1/3_binary64_6980` `rem-cbrt-cube_binary64_6922` `diff-log_binary64_6990`

Counts

4 → 131

Calls

4 calls:

14.0ms	(.f64 y (cbrt.f64 (pow.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3)))
12.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
8.0ms	(cbrt.f64 (pow.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))

Compiler

Compiled 5302 to 2022 computations (61.9% saved)

series3.3s (19.9%)

Error

0.3b

Counts

4 → 65

Calls

4 calls:

960.0ms	(.f64 y (cbrt.f64 (pow.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3)))
881.0ms	(cbrt.f64 (pow.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))
864.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
516.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))

Compiler

Compiled 8590 to 6104 computations (28.9% saved)

simplify126.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5012	7902

prune267.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	196	5	201

Error

0.3b

Counts

201 → 5

Compiler

Compiled 7142 to 2994 computations (58.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3)
0.3b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
6.9b	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
25.7b	(cbrt.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))

rewrite234.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

36×	`frac-sub_binary64_6907`
33×	`associate-*r/_binary64_6840`
24×	`tanh-def-c_binary64_7087` `tanh-def-b_binary64_7086` `tanh-def-a_binary64_7085`
22×	`cube-div_binary64_6927`
15×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
14×	`add-sqr-sqrt_binary64_6920` `*-un-lft-identity_binary64_6898`
11×	`cbrt-div_binary64_6930`
10×	`add-cube-cbrt_binary64_6933`
9×	`cancel-sign-sub-inv_binary64_6864`
8×	`cbrt-prod_binary64_6929`
6×	`add-log-exp_binary64_6937` `pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931`
5×	`associate-r_binary64_6838`
4×	`flip3--_binary64_6902` `flip--_binary64_6873` `distribute-rgt-in_binary64_6848` `distribute-lft-in_binary64_6847`
3×	`sub-neg_binary64_6891` `pow-unpow_binary64_6975` `pow-pow_binary64_6970` `pow-exp_binary64_6966` `rem-cube-cbrt_binary64_6921`
2×	`unpow-prod-down_binary64_6977` `unpow3_binary64_6964` `cube-mult_binary64_6928` `cube-prod_binary64_6926` `sqr-pow_binary64_6870` `difference-of-squares_binary64_6867` `distribute-lft-out--_binary64_6850`
1×	`pow1/3_binary64_6980` `rem-cbrt-cube_binary64_6922` `associate-l_binary64_6839` `*-commutative_binary64_6829` `diff-log_binary64_6990` `pow-to-exp_binary64_6967`

Counts

4 → 128

Calls

4 calls:

13.0ms	(pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3)
13.0ms	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
10.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))
7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))

Compiler

Compiled 5216 to 1799 computations (65.5% saved)

series4.4s (26.2%)

Error

0.3b

Counts

4 → 62

Calls

4 calls:

1.8s	(pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3)
1.0s	(cbrt.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))
985.0ms	(.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
497.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))

Compiler

Compiled 9561 to 6936 computations (27.5% saved)

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5484	9412

prune312.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	190	5	195

Error

0.3b

Counts

195 → 5

Compiler

Compiled 7691 to 3424 computations (55.5% saved)

regimes279.0ms (1.7%)

Accuracy

Total 1.6b remaining (98.4%)

Threshold costs 0b (0%)

Compiler

Compiled 3413 to 2231 computations (34.6% saved)

bsearch29.0ms (0.2%)

Steps

Iters	Range		Point
8	-9.531464721674243e+223	-2.608526328835246e+220	-1.307953264035108e+223

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	39
1	43	39

end0.0ms (0%)

sample1.3s (7.9%)

Algorithm

1×

intervals

Results

391.0ms	7773×	body	128	valid
26.0ms	549×	body	128	invalid
14.0ms	73×	body	1024	valid
13.0ms	94×	body	512	valid
6.0ms	60×	body	256	valid

Compiler

Compiled 732 to 482 computations (34.2% saved)

Details

analyze863.0ms (5.1%)

sample27.0ms (0.2%)

simplify56.0ms (0.3%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite118.0ms (0.7%)

series1.7s (10.2%)

simplify85.0ms (0.5%)

prune136.0ms (0.8%)

localize10.0ms (0.1%)

rewrite182.0ms (1.1%)

series2.6s (15.5%)

simplify121.0ms (0.7%)

prune189.0ms (1.1%)

localize13.0ms (0.1%)

rewrite243.0ms (1.4%)

series3.3s (19.9%)

simplify126.0ms (0.7%)

prune267.0ms (1.6%)

localize13.0ms (0.1%)

rewrite234.0ms (1.4%)

series4.4s (26.2%)

simplify91.0ms (0.5%)

prune312.0ms (1.9%)

regimes279.0ms (1.7%)

bsearch29.0ms (0.2%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (7.9%)

Profiling