Details

analyze839.0ms

Algorithm

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

sample23.0ms

Algorithm

intervals

Results

12.0ms	252×	body	128	valid
1.0ms	13×	body	128	invalid
0.0ms	3×	body	512	valid
0.0ms	1×	body	1024	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5235	23

prune2.0ms

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: 5.6b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
5.5b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-*r/_binary64`
9×	`frac-sub_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64`
1×	`flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 43

Calls

2 calls:

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

series594.0ms

Counts

2 → 6

Calls

2 calls:

176.0ms	(tanh.f64 (/.f64 t y))
417.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

simplify35.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4985	1311
1	4985	1311

prune60.0ms

Filtered

37 candidates to 49 candidates (-32.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Merged error: 0.9b

Counts

50 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.5b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.7b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/_binary64`
18×	`frac-sub_binary64`
13×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 76

Calls

3 calls:

5.0ms	(tanh.f64 (/.f64 t y))
12.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
14.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series1.1s

Counts

3 → 9

Calls

3 calls:

172.0ms	(tanh.f64 (/.f64 t y))
535.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
416.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5383	2379

prune100.0ms

Filtered

64 candidates to 85 candidates (-32.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	81	9	90

Merged error: 0.9b

Counts

90 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.6b	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.6b	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.7b	(.f64 y (.f64 (.f64 z (.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

4785×	`cbrt-div_binary64`
3915×	`frac-sub_binary64`
3586×	`associate-*r/_binary64`
3025×	`frac-times_binary64`
2610×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
435×	`flip3--_binary64` `flip--_binary64`
275×	`associate-*l/_binary64`
18×	`pow1_binary64` `add-exp-log_binary64`
15×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 1823

Calls

4 calls:

8.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
278.0ms	(.f64 y (.f64 (.f64 z (.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

series3.7s

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.1s	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.1s	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
417.0ms	(.f64 y (.f64 (.f64 z (.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

simplify1.9s

Algorithm

egg-herbie

Counts

1835 → 1835

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	7670	292184

prune27.5s

Filtered

1821 candidates to 1835 candidates (-0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1833	2	1835
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	1835	9	1844

Merged error: 0.9b

Counts

1844 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

2.6b	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.6b	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.6b	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.7b	(.f64 y (.f64 (.f64 z (.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))

rewrite1.9min

Algorithm

rewrite-expression-head

Calls

4 calls:

9.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
9.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
33.3s	(.f64 y (.f64 (.f64 z (.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))

Details

analyze839.0ms

sample23.0ms

simplify43.0ms

prune2.0ms

localize11.0ms

rewrite21.0ms

series594.0ms

simplify35.0ms

prune60.0ms

localize11.0ms

rewrite40.0ms

series1.1s

simplify45.0ms

prune100.0ms

localize15.0ms

rewrite1.6s

series3.7s

simplify1.9s

prune27.5s

localize20.0ms

rewrite1.9min

Profiling