Details

analyze933.0ms (12.7%)

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)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	252×	body	128	valid
1.0ms	16×	body	128	invalid
0.0ms	2×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify195.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5155	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

Error

4.0b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.0b	(tanh.f64 (/.f64 t y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
4.3b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite179.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

1.7b

Rules

18×	`frac-sub_binary64_9294`
15×	`cancel-sign-sub-inv_binary64_9251`
14×	`add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285`
13×	`tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472`
11×	`associate-*r/_binary64_9227`
10×	`add-cube-cbrt_binary64_9320`
9×	`pow1_binary64_9346` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
8×	`add-log-exp_binary64_9324` `distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234` `associate-+r+_binary64_9217`
5×	`sub-neg_binary64_9278` `associate-r_binary64_9225`
3×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318`
2×	`flip3--_binary64_9289` `flip--_binary64_9260` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237`
1×	`associate-l_binary64_9226` `*-commutative_binary64_9216` `diff-log_binary64_9377` `sum-log_binary64_9376` `flip3-+_binary64_9288` `flip-+_binary64_9259` `+-commutative_binary64_9215`

Counts

4 → 93

Calls

4 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)))
6.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 3113 to 825 computations (73.5% saved)

series3.2s (44.2%)

Error

Counts

4 → 52

Calls

4 calls:

1.2s	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.2s	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
539.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
150.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 6131 to 4132 computations (32.6% saved)

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5060	4954

prune207.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	2	146

Error

Counts

146 → 2

Compiler

Compiled 4298 to 1449 computations (66.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (-.f64 t x))
0.0b	(+.f64 x (*.f64 z (-.f64 t x)))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_9307` `cancel-sign-sub-inv_binary64_9251`
10×	`*-un-lft-identity_binary64_9285`
8×	`add-cube-cbrt_binary64_9320` `distribute-rgt-in_binary64_9235` `associate-+r+_binary64_9217` `distribute-lft-in_binary64_9234`
5×	`associate-r_binary64_9225`
4×	`add-log-exp_binary64_9324` `pow1_binary64_9346` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `sub-neg_binary64_9278`
3×	`associate-l_binary64_9226`
2×	`associate-*r/_binary64_9227`
1×	`sum-log_binary64_9376` `flip3-+_binary64_9288` `flip-+_binary64_9259` `+-commutative_binary64_9215` `pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `flip3--_binary64_9289` `flip--_binary64_9260` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237` `*-commutative_binary64_9216`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 z (-.f64 t x))
4.0ms	(+.f64 x (*.f64 z (-.f64 t x)))

Compiler

Compiled 682 to 193 computations (71.7% saved)

series279.0ms (3.8%)

Error

Counts

2 → 33

Calls

2 calls:

154.0ms	(+.f64 x (*.f64 z (-.f64 t x)))
109.0ms	(*.f64 z (-.f64 t x))

Compiler

Compiled 618 to 414 computations (33% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5278	764

prune57.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Error

Counts

84 → 2

Compiler

Compiled 804 to 159 computations (80.2% saved)

regimes341.0ms (4.6%)

Accuracy

Total 1.6b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 2960 to 1961 computations (33.8% saved)

bsearch37.0ms (0.5%)

Steps

Iters	Range		Point
10	-6.588244643822214e+199	-1.905270122816759e+188	-1.8346988193423953e+198

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%)

sample1.6s (21.3%)

Algorithm

1×

intervals

Results

489.0ms	7776×	body	128	valid
36.0ms	549×	body	128	invalid
22.0ms	86×	body	1024	valid
16.0ms	86×	body	512	valid
6.0ms	51×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 629 to 418 computations (33.5% saved)

Details

analyze933.0ms (12.7%)

sample26.0ms (0.4%)

simplify195.0ms (2.7%)

prune5.0ms (0.1%)

localize19.0ms (0.3%)

rewrite179.0ms (2.4%)

series3.2s (44.2%)

simplify121.0ms (1.7%)

prune207.0ms (2.8%)

localize13.0ms (0.2%)

rewrite42.0ms (0.6%)

series279.0ms (3.8%)

simplify69.0ms (0.9%)

prune57.0ms (0.8%)

regimes341.0ms (4.6%)

bsearch37.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (21.3%)

Profiling