Details

analyze800.0ms (15.6%)

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)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	249×	body	80	valid
1.0ms	23×	body	80	invalid
1.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5061	23

prune5.0ms (0.1%)

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 (0.2%)

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)))
0.0b	(tanh.f64 (/.f64 x y))
5.8b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

12.0ms	(.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))
2.0ms	(tanh.f64 (/.f64 x y))

series216.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
75.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
30.0ms	(tanh.f64 (/.f64 x y))
29.0ms	(tanh.f64 (/.f64 t y))

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5030	2640

prune85.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 1.6b

Counts

88 → 5

Compiler

Compiled 2734 to 853 computations (68.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64`
27×	`frac-sub_binary64`
19×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`sub-neg_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `associate-r_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×	`flip3--_binary64` `flip--_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `unswap-sqr_binary64`

Counts

4 → 98

Calls

4 calls:

13.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
11.0ms	(*.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 x y))

series484.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

297.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
81.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
76.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
29.0ms	(tanh.f64 (/.f64 x y))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4989	3522
1	4989	3522

prune101.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	109	6	115

Merged error: 1.6b

Counts

115 → 6

Compiler

Compiled 3590 to 1149 computations (68% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
2.1b	(*.f64 z (tanh.f64 (/.f64 t y)))
2.2b	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
3.6b	(.f64 y (+.f64 (.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`associate-*r/_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `distribute-neg-frac_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`frac-add_binary64` `associate-l_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `neg-mul-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

4 → 92

Calls

4 calls:

11.0ms	(.f64 y (+.f64 (.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))))
7.0ms	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
5.0ms	(*.f64 z (tanh.f64 (/.f64 t y)))
2.0ms	(tanh.f64 (/.f64 x y))

series183.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(.f64 y (+.f64 (.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))))
38.0ms	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
34.0ms	(*.f64 z (tanh.f64 (/.f64 t y)))
29.0ms	(tanh.f64 (/.f64 x y))

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5001	2013

prune75.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	104	6	110

Merged error: 1.6b

Counts

110 → 6

Compiler

Compiled 2916 to 829 computations (71.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.8b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (.f64 (.f64 (cbrt.f64 (tanh.f64 (/.f64 x y))) (cbrt.f64 (tanh.f64 (/.f64 x y)))) (cbrt.f64 (tanh.f64 (/.f64 x y))))))
8.3b	(cbrt.f64 (tanh.f64 (/.f64 x y)))
8.3b	(cbrt.f64 (tanh.f64 (/.f64 x y)))
8.3b	(cbrt.f64 (tanh.f64 (/.f64 x y)))

rewrite89.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

441×	`cbrt-div_binary64`
243×	`frac-times_binary64`
236×	`associate-*r/_binary64`
210×	`tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
189×	`frac-sub_binary64`
81×	`associate-*l/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `pow1/3_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64`
1×	`flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 253

Calls

4 calls:

42.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (.f64 (.f64 (cbrt.f64 (tanh.f64 (/.f64 x y))) (cbrt.f64 (tanh.f64 (/.f64 x y)))) (cbrt.f64 (tanh.f64 (/.f64 x y))))))
5.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))
3.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))
3.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))

series245.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (.f64 (.f64 (cbrt.f64 (tanh.f64 (/.f64 x y))) (cbrt.f64 (tanh.f64 (/.f64 x y)))) (cbrt.f64 (tanh.f64 (/.f64 x y))))))
58.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))
56.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))
55.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))

simplify219.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5219	23717

prune699.0ms (13.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	265	6	271

Merged error: 1.6b

Counts

271 → 6

Compiler

Compiled 23177 to 8660 computations (62.6% saved)

regimes186.0ms (3.6%)

Compiler: Compiled 580 to 380 computations (34.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	26
1	44	26

end0.0ms (0%)

sample1.3s (25.2%)

Algorithm

1×

intervals

Results

385.0ms	7754×	body	80	valid
27.0ms	555×	body	80	invalid
19.0ms	99×	body	640	valid
13.0ms	50×	body	1280	valid
8.0ms	59×	body	320	valid
3.0ms	38×	body	160	valid

Compiler

Compiled 191 to 129 computations (32.5% saved)

Details

analyze800.0ms (15.6%)

sample24.0ms (0.5%)

simplify60.0ms (1.2%)

prune5.0ms (0.1%)

localize11.0ms (0.2%)

rewrite26.0ms (0.5%)

series216.0ms (4.2%)

simplify65.0ms (1.3%)

prune85.0ms (1.7%)

localize11.0ms (0.2%)

rewrite37.0ms (0.7%)

series484.0ms (9.5%)

simplify66.0ms (1.3%)

prune101.0ms (2%)

localize12.0ms (0.2%)

rewrite29.0ms (0.6%)

series183.0ms (3.6%)

simplify84.0ms (1.6%)

prune75.0ms (1.5%)

localize15.0ms (0.3%)

rewrite89.0ms (1.7%)

series245.0ms (4.8%)

simplify219.0ms (4.3%)

prune699.0ms (13.6%)

regimes186.0ms (3.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (25.2%)

Profiling