Details

analyze838.0ms (8.5%)

Algorithm

1×

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)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	252×	body	128	valid
1.0ms	23×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify206.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5091	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

Merged error: 3.9b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
4.4b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_4467`
13×	`tanh-def-c_binary64_4644` `tanh-def-b_binary64_4643` `tanh-def-a_binary64_4642`
11×	`associate-*r/_binary64_4402`
8×	`add-cbrt-cube_binary64_4491` `pow1_binary64_4516` `add-sqr-sqrt_binary64_4479` `*-un-lft-identity_binary64_4458` `add-exp-log_binary64_4493`
5×	`associate-r_binary64_4400` `add-log-exp_binary64_4494`
4×	`add-cube-cbrt_binary64_4490`
3×	`cbrt-unprod_binary64_4488` `prod-exp_binary64_4504` `sub-neg_binary64_4451` `pow-prod-down_binary64_4526`
2×	`difference-of-squares_binary64_4427` `flip--_binary64_4433` `flip3--_binary64_4462` `distribute-lft-out--_binary64_4412`
1×	`diff-log_binary64_4547` `-commutative_binary64_4391` `distribute-lft-in_binary64_4409` `associate-l*_binary64_4401` `distribute-rgt-in_binary64_4410`

Counts

3 → 65

Calls

3 calls:

13.0ms	(.f64 (.f64 y 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)))
2.0ms	(tanh.f64 (/.f64 t y))

series1.0s (10.6%)

Counts

3 → 9

Calls

3 calls:

477.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
408.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
155.0ms	(tanh.f64 (/.f64 t y))

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4979	2454
1	4979	2454

prune104.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	5	75

Merged error: 1.3b

Counts

75 → 5

Compiler

Compiled 2445 to 814 computations (66.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
1.3b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.6b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite50.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64_4402`
27×	`frac-sub_binary64_4467`
19×	`tanh-def-c_binary64_4644` `tanh-def-b_binary64_4643` `tanh-def-a_binary64_4642`
13×	`add-sqr-sqrt_binary64_4479`
11×	`add-cbrt-cube_binary64_4491` `pow1_binary64_4516` `*-un-lft-identity_binary64_4458` `add-exp-log_binary64_4493`
7×	`sub-neg_binary64_4451` `add-cube-cbrt_binary64_4490`
6×	`associate-r_binary64_4400` `add-log-exp_binary64_4494` `associate-l_binary64_4401`
5×	`distribute-lft-in_binary64_4409` `distribute-rgt-in_binary64_4410`
4×	`cbrt-unprod_binary64_4488` `prod-exp_binary64_4504` `pow-prod-down_binary64_4526`
3×	`flip--_binary64_4433` `flip3--_binary64_4462`
2×	`*-commutative_binary64_4391` `difference-of-squares_binary64_4427` `distribute-lft-out--_binary64_4412`
1×	`diff-log_binary64_4547` `unswap-sqr_binary64_4426`

Counts

4 → 98

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))))
10.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms	(tanh.f64 (/.f64 t y))

series1.5s (15.6%)

Counts

4 → 12

Calls

4 calls:

531.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
457.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
414.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
138.0ms	(tanh.f64 (/.f64 t y))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4987	3522
1	4987	3522

prune136.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	110	5	115

Merged error: 1.3b

Counts

115 → 5

Compiler

Compiled 3559 to 1204 computations (66.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
1.3b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.8b	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
2.2b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))

rewrite71.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`associate-*r/_binary64_4402`
32×	`pow1_binary64_4516` `add-exp-log_binary64_4493`
27×	`frac-sub_binary64_4467`
22×	`associate-*l/_binary64_4403`
20×	`add-cbrt-cube_binary64_4491`
19×	`cbrt-unprod_binary64_4488` `prod-exp_binary64_4504` `pow-prod-down_binary64_4526`
18×	`tanh-def-c_binary64_4644` `tanh-def-b_binary64_4643` `tanh-def-a_binary64_4642`
13×	`add-sqr-sqrt_binary64_4479`
12×	`associate-r_binary64_4400`
11×	`*-un-lft-identity_binary64_4458`
9×	`add-cube-cbrt_binary64_4490`
6×	`cbrt-prod_binary64_4486`
5×	`associate-l_binary64_4401`
4×	`add-log-exp_binary64_4494`
3×	`*-commutative_binary64_4391` `flip--_binary64_4433` `flip3--_binary64_4462`
2×	`sub-neg_binary64_4451`
1×	`distribute-lft-in_binary64_4409` `difference-of-squares_binary64_4427` `pow1/3_binary64_4537` `unswap-sqr_binary64_4426` `distribute-lft-out--_binary64_4412` `distribute-rgt-in_binary64_4410`

Counts

4 → 115

Calls

4 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))
15.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
12.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms	(cbrt.f64 y)

series1.9s (19.3%)

Counts

4 → 12

Calls

4 calls:

734.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
525.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
493.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))
147.0ms	(cbrt.f64 y)

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4973	3613
1	4973	3613

prune149.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	126	6	132

Merged error: 1.3b

Counts

132 → 6

Compiler

Compiled 4442 to 1279 computations (71.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
1.3b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.6b	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))
2.2b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))

rewrite97.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`pow1_binary64_4516` `add-exp-log_binary64_4493`
53×	`cbrt-unprod_binary64_4488` `prod-exp_binary64_4504` `pow-prod-down_binary64_4526`
44×	`associate-*r/_binary64_4402`
40×	`add-cbrt-cube_binary64_4491`
33×	`associate-*l/_binary64_4403`
27×	`frac-sub_binary64_4467`
18×	`tanh-def-c_binary64_4644` `tanh-def-b_binary64_4643` `tanh-def-a_binary64_4642`
12×	`add-sqr-sqrt_binary64_4479`
10×	`*-un-lft-identity_binary64_4458`
9×	`cbrt-prod_binary64_4486`
8×	`add-cube-cbrt_binary64_4490`
7×	`associate-r_binary64_4400`
5×	`associate-l_binary64_4401`
4×	`add-log-exp_binary64_4494`
3×	`*-commutative_binary64_4391` `flip--_binary64_4433` `flip3--_binary64_4462`
2×	`sub-neg_binary64_4451`
1×	`distribute-lft-in_binary64_4409` `difference-of-squares_binary64_4427` `pow1/3_binary64_4537` `unswap-sqr_binary64_4426` `distribute-lft-out--_binary64_4412` `distribute-rgt-in_binary64_4410`

Counts

4 → 137

Calls

4 calls:

35.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))
20.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))
16.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0ms	(cbrt.f64 (cbrt.f64 y))

series2.1s (20.8%)

Counts

4 → 12

Calls

4 calls:

841.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))
521.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
493.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))
200.0ms	(cbrt.f64 (cbrt.f64 y))

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4949	4389
1	4949	4389

prune173.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	149	6	155

Merged error: 1.3b

Counts

155 → 6

Compiler

Compiled 5542 to 1381 computations (75.1% saved)

regimes90.0ms (0.9%)

Compiler: Compiled 898 to 536 computations (40.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	23
1	26	23

end0.0ms (0%)

sample920.0ms (9.3%)

Algorithm

1×

intervals

Results

422.0ms	7763×	body	128	valid
32.0ms	557×	body	128	invalid
20.0ms	97×	body	1024	valid
12.0ms	77×	body	512	valid
6.0ms	63×	body	256	valid

Compiler

Compiled 218 to 137 computations (37.2% saved)

Details

analyze838.0ms (8.5%)

sample29.0ms (0.3%)

simplify206.0ms (2.1%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite31.0ms (0.3%)

series1.0s (10.6%)

simplify82.0ms (0.8%)

prune104.0ms (1.1%)

localize11.0ms (0.1%)

rewrite50.0ms (0.5%)

series1.5s (15.6%)

simplify74.0ms (0.7%)

prune136.0ms (1.4%)

localize16.0ms (0.2%)

rewrite71.0ms (0.7%)

series1.9s (19.3%)

simplify93.0ms (0.9%)

prune149.0ms (1.5%)

localize20.0ms (0.2%)

rewrite97.0ms (1%)

series2.1s (20.8%)

simplify111.0ms (1.1%)

prune173.0ms (1.8%)

regimes90.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample920.0ms (9.3%)

Profiling