Details

analyze825.0ms (10.7%)

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 (0.3%)

Algorithm

1×

intervals

Results

13.0ms	252×	body	128	valid
1.0ms	18×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify146.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5155	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

Error

3.1b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

3.4b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
0.0b	(tanh.f64 (/.f64 x y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b	(tanh.f64 (/.f64 t y))
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))
3.4b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_11340`
14×	`tanh-def-c_binary64_11520` `tanh-def-b_binary64_11519` `tanh-def-a_binary64_11518`
12×	`*-un-lft-identity_binary64_11331` `add-sqr-sqrt_binary64_11353`
11×	`associate-*r/_binary64_11273`
9×	`add-exp-log_binary64_11369` `pow1_binary64_11392` `cancel-sign-sub-inv_binary64_11297` `add-cbrt-cube_binary64_11367`
8×	`add-cube-cbrt_binary64_11366`
6×	`add-log-exp_binary64_11370`
5×	`associate-r_binary64_11271`
4×	`distribute-lft-in_binary64_11280` `distribute-rgt-in_binary64_11281`
3×	`cbrt-unprod_binary64_11364` `sub-neg_binary64_11324` `prod-exp_binary64_11380` `pow-prod-down_binary64_11402`
2×	`distribute-lft-out--_binary64_11283` `difference-of-squares_binary64_11300` `flip3--_binary64_11335` `flip--_binary64_11306`
1×	`-commutative_binary64_11262` `associate-l*_binary64_11272` `diff-log_binary64_11423`

Counts

4 → 84

Calls

8 calls:

14.0ms	(.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 x y))
2.0ms	(tanh.f64 (/.f64 t y))
0.0ms	(tanh.f64 (/.f64 t y))

series1.8s (23.5%)

Counts

4 → 47

Calls

4 calls:

1.0s	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
477.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
149.0ms	(tanh.f64 (/.f64 x y))
146.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 3170 to 2406 computations (24.1% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4972	3564
1	4972	3564

prune151.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	2	132

Error

Counts

132 → 2

Compiler

Compiled 3516 to 1039 computations (70.4% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

4.3b	(.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))))
0.0b	(tanh.f64 (/.f64 x y))
0.0b	(tanh.f64 (/.f64 t y))
0.0b	(+.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))
0.0b	(+.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))
0.0b	(tanh.f64 (/.f64 x y))
4.3b	(.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))))
5.9b	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`associate-*r/_binary64_11273`
14×	`add-exp-log_binary64_11369` `pow1_binary64_11392` `add-cbrt-cube_binary64_11367`
13×	`associate-r_binary64_11271`
12×	`distribute-neg-frac_binary64_11295`
9×	`tanh-def-c_binary64_11520` `tanh-def-b_binary64_11519` `frac-add_binary64_11339` `tanh-def-a_binary64_11518`
8×	`*-un-lft-identity_binary64_11331` `add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
6×	`cbrt-unprod_binary64_11364` `add-log-exp_binary64_11370` `prod-exp_binary64_11380` `pow-prod-down_binary64_11402`
3×	`distribute-rgt-neg-in_binary64_11289` `distribute-lft-neg-in_binary64_11288`
2×	`-commutative_binary64_11262` `distribute-rgt-neg-out_binary64_11291` `associate-l*_binary64_11272`
1×	`neg-mul-1_binary64_11327` `+-commutative_binary64_11261` `sum-log_binary64_11422` `distribute-lft-out_binary64_11282` `flip3-+_binary64_11334` `flip-+_binary64_11305` `unsub-neg_binary64_11325`

Counts

4 → 82

Calls

8 calls:

10.0ms	(+.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))
10.0ms	(.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))))
6.0ms	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
2.0ms	(tanh.f64 (/.f64 x y))
0.0ms	(+.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))

series1.9s (25.1%)

Counts

4 → 49

Calls

4 calls:

997.0ms	(+.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))
405.0ms	(.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y))))
387.0ms	(.f64 (.f64 y z) (tanh.f64 (/.f64 t y)))
147.0ms	(tanh.f64 (/.f64 x y))

Compiler

Compiled 3280 to 2381 computations (27.4% saved)

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4995	3566
1	4995	3566

prune133.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	131	2	133

Error

Counts

133 → 2

Compiler

Compiled 3887 to 1131 computations (70.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_11353` `cancel-sign-sub-inv_binary64_11297`
10×	`*-un-lft-identity_binary64_11331`
8×	`distribute-lft-in_binary64_11280` `add-cube-cbrt_binary64_11366` `distribute-rgt-in_binary64_11281` `associate-+r+_binary64_11263`
5×	`associate-r_binary64_11271`
4×	`add-exp-log_binary64_11369` `pow1_binary64_11392` `sub-neg_binary64_11324` `add-log-exp_binary64_11370` `add-cbrt-cube_binary64_11367`
3×	`associate-l_binary64_11272`
2×	`associate-*r/_binary64_11273`
1×	`*-commutative_binary64_11262` `distribute-lft-out--_binary64_11283` `cbrt-unprod_binary64_11364` `difference-of-squares_binary64_11300` `+-commutative_binary64_11261` `sum-log_binary64_11422` `unswap-sqr_binary64_11299` `flip3--_binary64_11335` `prod-exp_binary64_11380` `flip3-+_binary64_11334` `pow-prod-down_binary64_11402` `flip-+_binary64_11305` `flip--_binary64_11306`

Counts

2 → 49

Calls

4 calls:

7.0ms	(*.f64 z (-.f64 t x))
4.0ms	(+.f64 x (*.f64 z (-.f64 t x)))
0.0ms	(*.f64 z (-.f64 t x))
0.0ms	(+.f64 x (*.f64 z (-.f64 t x)))

series218.0ms (2.8%)

Counts

2 → 33

Calls

2 calls:

125.0ms	(+.f64 x (*.f64 z (-.f64 t x)))
93.0ms	(*.f64 z (-.f64 t x))

Compiler

Compiled 387 to 379 computations (2.1% saved)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5278	764

prune44.0ms (0.6%)

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 155 computations (80.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	172	384
1	172	384

regimes179.0ms (2.3%)

Compiler: Compiled 1351 to 1012 computations (25.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 15 to 12 computations (20% saved)

regimes143.0ms (1.9%)

Compiler: Compiled 304 to 368 computations (-21.1% saved)

bsearch91.0ms (1.2%)

Steps

Iters	Range		Point
9	3.2829185297334947e+102	1.31089233722897e+111	7.797560520079821e+107
8	1.8924154666933203e-292	1.3906239562619985e-288	7.054004603276514e-289
8	-1.3402608758969382e-207	-2.2819820567229548e-210	-1.1313193967781163e-209
9	-1.0824107047235049e+77	-2.3764614131634297e+68	-5.42800294655821e+74

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes138.0ms (1.8%)

Compiler: Compiled 188 to 260 computations (-38.3% saved)

bsearch20.0ms (0.3%)

Steps

Iters	Range		Point
5	1.051541402771095e+41	2.4040381696916278e+41	1.2271289958229e+41
3	-3.4471739317710543e-07	-2.7563273838115193e-07	-3.4039960225235837e-07

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes85.0ms (1.1%)

Compiler: Compiled 56 to 152 computations (-171.4% saved)

bsearch38.0ms (0.5%)

Steps

Iters	Range		Point
9	2.4791400141612514e+125	7.050875921866392e+130	2.628905711122354e+125
7	-2.453434244291539e-07	-3.1380576781209432e-09	-2.1529229305819905e-07

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes55.0ms (0.7%)

Compiler: Compiled 36 to 128 computations (-255.6% saved)

bsearch30.0ms (0.4%)

Steps

Iters	Range		Point
9	1.1111524781557462e-231	8.286357075109484e-227	5.442066255850792e-231
4	-7.953041119722353e-179	-5.076556771467348e-179	-7.08475183784244e-179

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes41.0ms (0.5%)

Compiler: Compiled 24 to 108 computations (-350% saved)

bsearch0.0ms (0%)

regimes37.0ms (0.5%)

Compiler: Compiled 20 to 92 computations (-360% saved)

bsearch0.0ms (0%)

regimes33.0ms (0.4%)

Accuracy

Total 1.5b remaining (98%)

Threshold costs 0b (0%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 149 to 95 computations (36.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	116	204
1	116	204

end0.0ms (0%)

sample1.2s (15%)

Algorithm

1×

intervals

Results

412.0ms	7775×	body	128	valid
28.0ms	549×	body	128	invalid
15.0ms	72×	body	1024	valid
14.0ms	94×	body	512	valid
6.0ms	59×	body	256	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 423 to 307 computations (27.4% saved)

Pareto

0.7299584387819456

Details

analyze825.0ms (10.7%)

sample26.0ms (0.3%)

simplify146.0ms (1.9%)

prune3.0ms (0%)

localize18.0ms (0.2%)

rewrite35.0ms (0.5%)

series1.8s (23.5%)

simplify70.0ms (0.9%)

prune151.0ms (2%)

localize14.0ms (0.2%)

rewrite37.0ms (0.5%)

series1.9s (25.1%)

simplify90.0ms (1.2%)

prune133.0ms (1.7%)

localize7.0ms (0.1%)

rewrite15.0ms (0.2%)

series218.0ms (2.8%)

simplify64.0ms (0.8%)

prune44.0ms (0.6%)

simplify8.0ms (0.1%)

regimes179.0ms (2.3%)

bsearch1.0ms (0%)

regimes143.0ms (1.9%)

bsearch91.0ms (1.2%)

regimes138.0ms (1.8%)

bsearch20.0ms (0.3%)

regimes85.0ms (1.1%)

bsearch38.0ms (0.5%)

regimes55.0ms (0.7%)

bsearch30.0ms (0.4%)

regimes41.0ms (0.5%)

bsearch0.0ms (0%)

regimes37.0ms (0.5%)

bsearch0.0ms (0%)

regimes33.0ms (0.4%)

bsearch7.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.2s (15%)

Profiling