Details

analyze824.0ms (2%)

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)

sample25.0ms (0.1%)

Algorithm

1×

intervals

Results

13.0ms	251×	body	128	valid
1.0ms	15×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5275	23

prune2.0ms (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: 5.3b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(tanh.f64 (/.f64 t y))
5.3b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`associate-*r/_binary64`
9×	`frac-sub_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
6×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
5×	`associate-r_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64`
1×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

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

series736.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

434.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
158.0ms	(tanh.f64 (/.f64 x y))
144.0ms	(tanh.f64 (/.f64 t y))

simplify42.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5900	1653

prune185.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 1.9b

Counts

69 → 6

Compiler

Compiled 4160 to 1791 computations (56.9% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(tanh.f64 (/.f64 t y))
1.1b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.9b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite44.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64`
20×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
18×	`cancel-sign-sub-inv_binary64` `frac-sub_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
14×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`sub-neg_binary64` `associate-r_binary64` `associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 104

Calls

4 calls:

15.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
13.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0ms	(tanh.f64 (/.f64 t y))
2.0ms	(tanh.f64 (/.f64 x y))

series1.2s (3%)

Counts

4 → 12

Calls

4 calls:

538.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
412.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
152.0ms	(tanh.f64 (/.f64 x y))
144.0ms	(tanh.f64 (/.f64 t y))

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5884	2997

prune265.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Merged error: 1.9b

Counts

122 → 7

Compiler

Compiled 6338 to 2536 computations (60% saved)

localize19.0ms (0%)

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))))
3.9b	(.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))))))

rewrite1.5s (3.6%)

Algorithm

1×	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:

268.0ms	(.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))))))
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))))
8.0ms	(cbrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series3.6s (8.7%)

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))))
415.0ms	(.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))))))

simplify2.1s (5%)

Algorithm

1×	egg-herbie

Counts

1835 → 1835

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	7683	291089

prune27.9s (66.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1834	1	1835
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	1835	7	1842

Merged error: 1.9b

Counts

1842 → 7

Compiler

Compiled 286669 to 115902 computations (59.6% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
1.1b	(*.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))
2.4b	(.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)))

rewrite70.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`associate-*r/_binary64`
32×	`pow1_binary64` `add-exp-log_binary64`
27×	`frac-sub_binary64`
22×	`associate-*l/_binary64`
20×	`add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
18×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
12×	`associate-r_binary64`
11×	`add-cube-cbrt_binary64`
6×	`cancel-sign-sub-inv_binary64` `cbrt-prod_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`pow1/3_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 121

Calls

4 calls:

23.0ms	(.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)))
16.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
13.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms	(cbrt.f64 y)

series1.9s (4.5%)

Counts

4 → 12

Calls

4 calls:

738.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
517.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
482.0ms	(.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)))
160.0ms	(cbrt.f64 y)

simplify80.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4979	3733
1	4979	3733

prune161.0ms (0.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	133	7	140

Merged error: 1.9b

Counts

140 → 7

Compiler

Compiled 4887 to 1448 computations (70.4% saved)

regimes83.0ms (0.2%)

Compiler: Compiled 744 to 448 computations (39.8% 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 (2.2%)

Algorithm

1×

intervals

Results

424.0ms	7780×	body	128	valid
32.0ms	603×	body	128	invalid
18.0ms	83×	body	1024	valid
14.0ms	96×	body	512	valid
4.0ms	41×	body	256	valid

Compiler

Compiled 230 to 145 computations (37% saved)

Details

analyze824.0ms (2%)

sample25.0ms (0.1%)

simplify49.0ms (0.1%)

prune2.0ms (0%)

localize11.0ms (0%)

rewrite24.0ms (0.1%)

series736.0ms (1.8%)

simplify42.0ms (0.1%)

prune185.0ms (0.4%)

localize11.0ms (0%)

rewrite44.0ms (0.1%)

series1.2s (3%)

simplify54.0ms (0.1%)

prune265.0ms (0.6%)

localize19.0ms (0%)

rewrite1.5s (3.6%)

series3.6s (8.7%)

simplify2.1s (5%)

prune27.9s (66.5%)

localize19.0ms (0%)

rewrite70.0ms (0.2%)

series1.9s (4.5%)

simplify80.0ms (0.2%)

prune161.0ms (0.4%)

regimes83.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample920.0ms (2.2%)

Profiling