Details

analyze2.8s (17.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4965	496
1	4965	496
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample45.0ms (0.3%)

Algorithm

1×

intervals

Results

26.0ms	255×	body	128	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	5141	31

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.0b

Counts

2 → 1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
1.4b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
2.5b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
27.1b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite109.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_20538`
18×	`add-sqr-sqrt_binary64_20560`
16×	`add-cube-cbrt_binary64_20573`
15×	`times-frac_binary64_20544`
13×	`distribute-lft-out_binary64_20489`
11×	`add-log-exp_binary64_20577`
10×	`associate-*l/_binary64_20481`
8×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
7×	`flip3-+_binary64_20541` `flip-+_binary64_20512`
6×	`pow1_binary64_20599`
5×	`associate-/r*_binary64_20482`
4×	`associate-l_binary64_20479` `frac-add_binary64_20546`
3×	`associate-/l_binary64_20483` `associate-r*_binary64_20478`
2×	`associate-/l/_binary64_20485` `associate-/r/_binary64_20484` `flip3--_binary64_20542` `sum-log_binary64_20629` `flip--_binary64_20513` `diff-log_binary64_20630`
1×	`clear-num_binary64_20537` `cancel-sign-sub-inv_binary64_20504` `cbrt-unprod_binary64_20571` `sub-neg_binary64_20531` `pow-prod-down_binary64_20609` `div-sub_binary64_20543` `frac-2neg_binary64_20549` `+-commutative_binary64_20468` `*-commutative_binary64_20469` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506` `div-inv_binary64_20535` `associate--l+_binary64_20475` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`

Counts

4 → 90

Calls

4 calls:

40.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
21.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
16.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
13.0ms	(*.f64 (+.f64 x y) z)

series2.9s (18.6%)

Counts

4 → 128

Calls

4 calls:

1.6s	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
706.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
523.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
158.0ms	(*.f64 (+.f64 x y) z)

Compiler

Compiled 6911 to 4568 computations (33.9% saved)

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5079	7996

prune354.0ms (2.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	205	13	218
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	13	219

Error

5.9b

Counts

219 → 13

Compiler

Compiled 7502 to 1208 computations (83.9% saved)

localize4.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune28.0ms (0.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Error

5.9b

Counts

13 → 13

Compiler

Compiled 349 to 198 computations (43.3% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.0b	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
8.2b	(/.f64 (*.f64 y z) (+.f64 x (+.f64 y t)))
8.4b	(/.f64 (*.f64 t a) (+.f64 x (+.f64 y t)))
9.7b	(/.f64 (*.f64 x z) (+.f64 x (+.f64 y t)))

rewrite85.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_20538`
24×	`add-cbrt-cube_binary64_20574` `distribute-lft-out_binary64_20489` `add-exp-log_binary64_20576`
20×	`associate-/r*_binary64_20482` `times-frac_binary64_20544`
12×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
8×	`associate-/r/_binary64_20484` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
4×	`clear-num_binary64_20537` `cbrt-unprod_binary64_20571` `pow1_binary64_20599` `associate-/l*_binary64_20483` `frac-2neg_binary64_20549` `flip3-+_binary64_20541` `add-log-exp_binary64_20577` `prod-exp_binary64_20587` `div-inv_binary64_20535` `flip-+_binary64_20512`

Counts

4 → 108

Calls

4 calls:

16.0ms	(/.f64 (*.f64 x z) (+.f64 x (+.f64 y t)))
15.0ms	(/.f64 (*.f64 t a) (+.f64 x (+.f64 y t)))
14.0ms	(/.f64 (*.f64 y z) (+.f64 x (+.f64 y t)))
14.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))

series1.4s (8.6%)

Counts

4 → 82

Calls

4 calls:

419.0ms	(/.f64 (*.f64 y z) (+.f64 x (+.f64 y t)))
336.0ms	(/.f64 (*.f64 x z) (+.f64 x (+.f64 y t)))
327.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
283.0ms	(/.f64 (*.f64 t a) (+.f64 x (+.f64 y t)))

Compiler

Compiled 7847 to 4068 computations (48.2% saved)

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4998	3471
1	4998	3471

prune384.0ms (2.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	184	6	190
Fresh	5	6	11
Picked	1	0	1
Done	0	1	1
Total	190	13	203

Error

2.4b

Counts

203 → 13

Compiler

Compiled 10841 to 1093 computations (89.9% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.4b	(/.f64 (*.f64 y a) (+.f64 x (+.f64 y t)))
8.0b	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
8.2b	(/.f64 (*.f64 y z) (+.f64 x (+.f64 y t)))
9.7b	(/.f64 (*.f64 x z) (+.f64 x (+.f64 y t)))

rewrite98.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_20538`
24×	`add-cbrt-cube_binary64_20574` `distribute-lft-out_binary64_20489` `add-exp-log_binary64_20576`
20×	`associate-/r*_binary64_20482` `times-frac_binary64_20544`
12×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
8×	`associate-/r/_binary64_20484` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
4×	`clear-num_binary64_20537` `cbrt-unprod_binary64_20571` `pow1_binary64_20599` `associate-/l*_binary64_20483` `frac-2neg_binary64_20549` `flip3-+_binary64_20541` `add-log-exp_binary64_20577` `prod-exp_binary64_20587` `div-inv_binary64_20535` `flip-+_binary64_20512`

Counts

4 → 108

Calls

4 calls:

16.0ms	(/.f64 (*.f64 x z) (+.f64 x (+.f64 y t)))
16.0ms	(/.f64 (*.f64 y z) (+.f64 x (+.f64 y t)))
16.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
16.0ms	(/.f64 (*.f64 y a) (+.f64 x (+.f64 y t)))

series1.2s (7.6%)

Counts

4 → 82

Calls

4 calls:

368.0ms	(/.f64 (*.f64 y z) (+.f64 x (+.f64 y t)))
298.0ms	(/.f64 (*.f64 x z) (+.f64 x (+.f64 y t)))
272.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
261.0ms	(/.f64 (*.f64 y a) (+.f64 x (+.f64 y t)))

Compiler

Compiled 7863 to 4083 computations (48.1% saved)

simplify150.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5049	3471

prune282.0ms (1.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	187	3	190
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	190	13	203

Error

1.2b

Counts

203 → 13

Compiler

Compiled 10364 to 807 computations (92.2% saved)

regimes2.6s (16.3%)

Accuracy

Total 9.3b remaining (88.7%)

Threshold costs 0b (0%)

Compiler

Compiled 16042 to 7909 computations (50.7% saved)

bsearch170.0ms (1.1%)

Steps

Iters	Range		Point
9	1.9773819709660957e+93	2.2782782676347464e+100	5.0281505230896065e+98
10	-1.3553813987933644e-160	-3.776940059297638e-172	-5.98723732135947e-163
7	-4.363595366697805e-98	-1.3409178737258209e-99	-1.5383444662198045e-99
9	-7.548091902057686e+56	-2.3677789318055386e+51	-3.5923451958019774e+56

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	109	242
1	109	242

end0.0ms (0%)

sample2.7s (17.1%)

Algorithm

1×

intervals

Results

682.0ms	7995×	body	128	valid
1.0ms	4×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 2549 to 1217 computations (52.3% saved)

Details

analyze2.8s (17.7%)

sample45.0ms (0.3%)

simplify131.0ms (0.8%)

prune5.0ms (0%)

localize31.0ms (0.2%)

rewrite109.0ms (0.7%)

series2.9s (18.6%)

simplify137.0ms (0.9%)

prune354.0ms (2.2%)

localize4.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify10.0ms (0.1%)

prune28.0ms (0.2%)

localize43.0ms (0.3%)

rewrite85.0ms (0.5%)

series1.4s (8.6%)

simplify133.0ms (0.8%)

prune384.0ms (2.4%)

localize42.0ms (0.3%)

rewrite98.0ms (0.6%)

series1.2s (7.6%)

simplify150.0ms (0.9%)

prune282.0ms (1.8%)

regimes2.6s (16.3%)

bsearch170.0ms (1.1%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.7s (17.1%)

Profiling