Details

analyze1.1s (9.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2950	133
1	2950	133
0	4	4
1	4	4

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample27.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	101×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

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

Error

5.6b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
5.2b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite66.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

13×	`cancel-sign-sub-inv_binary64_17435`
8×	`add-sqr-sqrt_binary64_17491` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418` `associate--r+_binary64_17405`
7×	`pow1_binary64_17530` `add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `add-cube-cbrt_binary64_17504` `*-un-lft-identity_binary64_17469`
5×	`sub-neg_binary64_17462`
4×	`add-log-exp_binary64_17508` `associate-r_binary64_17409`
3×	`pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502`
2×	`flip3--_binary64_17473` `associate-*r/_binary64_17411` `flip--_binary64_17444`
1×	`associate-l_binary64_17410` `difference-of-squares_binary64_17438` `*-commutative_binary64_17400` `diff-log_binary64_17561`

Counts

2 → 49

Calls

2 calls:

9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))

Compiler

Compiled 1112 to 443 computations (60.2% saved)

series570.0ms (4.8%)

Error

4.2b

Counts

2 → 39

Calls

2 calls:

356.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
180.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

Compiler

Compiled 1341 to 1112 computations (17.1% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4978	1414
1	4978	1414

prune73.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	8	89

Error

2.2b

Counts

89 → 8

Compiler

Compiled 1493 to 581 computations (61.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (*.f64 z z) t)))
2.5b	(-.f64 (pow.f64 z 4) (*.f64 t t))
6.1b	(.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (*.f64 t t)))
21.5b	(/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (.f64 z z) t))

rewrite156.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

18×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
14×	`add-sqr-sqrt_binary64_17491`
12×	`cancel-sign-sub-inv_binary64_17435`
9×	`pow1_binary64_17530` `add-cube-cbrt_binary64_17504` `*-un-lft-identity_binary64_17469`
8×	`add-log-exp_binary64_17508`
7×	`difference-of-squares_binary64_17438`
6×	`prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `times-frac_binary64_17475` `associate-r_binary64_17409`
4×	`flip3--_binary64_17473` `associate-*r/_binary64_17411` `flip--_binary64_17444` `associate-/r/_binary64_17415` `sub-neg_binary64_17462`
3×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `associate-/r*_binary64_17413` `pow-prod-down_binary64_17540`
2×	`div-inv_binary64_17466` `associate-/l/_binary64_17416` `flip3-+_binary64_17472` `flip-+_binary64_17443` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418` `unpow-prod-down_binary64_17548` `sqr-pow_binary64_17441` `diff-log_binary64_17561`
1×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `associate-/l_binary64_17414` `associate-l_binary64_17410` `-commutative_binary64_17400`

Counts

4 → 90

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (.f64 z z) t))
10.0ms	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (*.f64 z z) t)))
9.0ms	(.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (*.f64 t t)))
5.0ms	(-.f64 (pow.f64 z 4) (*.f64 t t))

Compiler

Compiled 3017 to 1306 computations (56.7% saved)

series1.6s (14%)

Error

2.2b

Counts

4 → 66

Calls

4 calls:

810.0ms	(-.f64 (.f64 x x) (/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (*.f64 z z) t)))
354.0ms	(/.f64 (.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (.f64 t t))) (+.f64 (.f64 z z) t))
300.0ms	(.f64 (.f64 y 4) (-.f64 (pow.f64 z 4) (*.f64 t t)))
131.0ms	(-.f64 (pow.f64 z 4) (*.f64 t t))

Compiler

Compiled 3186 to 2393 computations (24.9% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4982	2938
1	4982	2938

prune146.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	156	8	164

Error

2.2b

Counts

164 → 8

Compiler

Compiled 3472 to 1439 computations (58.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (/.f64 1 (/.f64 (/.f64 1 (-.f64 (.f64 z z) t)) (*.f64 4 y))))
0.5b	(/.f64 1 (-.f64 (*.f64 z z) t))
0.5b	(/.f64 1 (/.f64 (/.f64 1 (-.f64 (.f64 z z) t)) (.f64 4 y)))
4.8b	(/.f64 (/.f64 1 (-.f64 (.f64 z z) t)) (.f64 4 y))

rewrite578.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

398×	`times-frac_binary64_17475`
173×	`add-sqr-sqrt_binary64_17491`
139×	`*-un-lft-identity_binary64_17469`
138×	`add-cube-cbrt_binary64_17504`
108×	`add-exp-log_binary64_17507`
71×	`cancel-sign-sub-inv_binary64_17435`
68×	`div-exp_binary64_17520`
36×	`add-cbrt-cube_binary64_17505`
34×	`difference-of-squares_binary64_17438`
27×	`associate-/r*_binary64_17413`
24×	`associate-/l*_binary64_17414`
22×	`associate-/r/_binary64_17415`
20×	`div-inv_binary64_17466`
18×	`1-exp_binary64_17513` `rec-exp_binary64_17519` `cbrt-undiv_binary64_17503`
16×	`prod-exp_binary64_17518`
11×	`flip3--_binary64_17473` `flip--_binary64_17444`
6×	`pow1_binary64_17530` `add-log-exp_binary64_17508`
4×	`cbrt-unprod_binary64_17502`
3×	`frac-2neg_binary64_17480` `clear-num_binary64_17468`
2×	`inv-pow_binary64_17554` `pow-flip_binary64_17543`
1×	`associate-/l/_binary64_17416` `diff-log_binary64_17561` `sub-neg_binary64_17462`

Counts

4 → 318

Calls

4 calls:

28.0ms	(-.f64 (.f64 x x) (/.f64 1 (/.f64 (/.f64 1 (-.f64 (.f64 z z) t)) (*.f64 4 y))))
18.0ms	(/.f64 1 (/.f64 (/.f64 1 (-.f64 (.f64 z z) t)) (.f64 4 y)))
12.0ms	(/.f64 (/.f64 1 (-.f64 (.f64 z z) t)) (.f64 4 y))
6.0ms	(/.f64 1 (-.f64 (*.f64 z z) t))

Compiler

Compiled 9367 to 4846 computations (48.3% saved)

series921.0ms (7.8%)

Error

2.2b

Counts

4 → 78

Calls

4 calls:

348.0ms	(-.f64 (.f64 x x) (/.f64 1 (/.f64 (/.f64 1 (-.f64 (.f64 z z) t)) (*.f64 4 y))))
212.0ms	(/.f64 (/.f64 1 (-.f64 (.f64 z z) t)) (.f64 4 y))
183.0ms	(/.f64 1 (/.f64 (/.f64 1 (-.f64 (.f64 z z) t)) (.f64 4 y)))
110.0ms	(/.f64 1 (-.f64 (*.f64 z z) t))

Compiler

Compiled 3678 to 2966 computations (19.4% saved)

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

396 → 396

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4985	8309
1	4985	8309

prune367.0ms (3.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	394	2	396
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	396	8	404

Error

2.2b

Counts

404 → 8

Compiler

Compiled 8391 to 3389 computations (59.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (/.f64 1 (/.f64 (/.f64 -1 t) (.f64 4 y))))
0.2b	(/.f64 (/.f64 -1 t) (*.f64 4 y))
1.1b	(/.f64 1 (/.f64 (/.f64 -1 t) (*.f64 4 y)))

rewrite352.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

289×	`times-frac_binary64_17475`
113×	`add-sqr-sqrt_binary64_17491`
110×	`*-un-lft-identity_binary64_17469`
109×	`add-cube-cbrt_binary64_17504`
59×	`add-exp-log_binary64_17507`
56×	`cancel-sign-sub-inv_binary64_17435`
34×	`div-exp_binary64_17520`
33×	`add-cbrt-cube_binary64_17505`
19×	`div-inv_binary64_17466`
18×	`associate-/r*_binary64_17413`
17×	`cbrt-undiv_binary64_17503`
16×	`associate-/l*_binary64_17414`
8×	`prod-exp_binary64_17518`
5×	`1-exp_binary64_17513` `rec-exp_binary64_17519` `add-log-exp_binary64_17508`
4×	`pow1_binary64_17530` `cbrt-unprod_binary64_17502`
3×	`difference-of-squares_binary64_17438`
2×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `associate-/r/_binary64_17415`
1×	`inv-pow_binary64_17554` `pow-flip_binary64_17543` `associate-/l/_binary64_17416` `diff-log_binary64_17561` `flip3--_binary64_17473` `sub-neg_binary64_17462` `flip--_binary64_17444`

Counts

3 → 220

Calls

3 calls:

21.0ms	(-.f64 (.f64 x x) (/.f64 1 (/.f64 (/.f64 -1 t) (.f64 4 y))))
10.0ms	(/.f64 1 (/.f64 (/.f64 -1 t) (*.f64 4 y)))
7.0ms	(/.f64 (/.f64 -1 t) (*.f64 4 y))

Compiler

Compiled 5106 to 3560 computations (30.3% saved)

series284.0ms (2.4%)

Error

2.2b

Counts

3 → 30

Calls

3 calls:

150.0ms	(-.f64 (.f64 x x) (/.f64 1 (/.f64 (/.f64 -1 t) (.f64 4 y))))
63.0ms	(/.f64 (/.f64 -1 t) (*.f64 4 y))
57.0ms	(/.f64 1 (/.f64 (/.f64 -1 t) (*.f64 4 y)))

Compiler

Compiled 677 to 596 computations (12% saved)

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4951	3775
1	4951	3775

prune230.0ms (2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	245	5	250
Fresh	0	4	4
Picked	1	0	1
Done	0	3	3
Total	246	12	258

Error

2.2b

Counts

258 → 12

Compiler

Compiled 3900 to 2148 computations (44.9% saved)

regimes2.3s (19.4%)

Accuracy

Total 1.1b remaining (31.1%)

Threshold costs 0b (0%)

Compiler

Compiled 20831 to 17431 computations (16.3% saved)

bsearch58.0ms (0.5%)

Steps

Iters	Range		Point
8	3.080867662806528e+123	2.5988743412645072e+126	2.5730812676030823e+126
5	-1.6475900729236058e+153	-7.8156495479070515e+152	-1.6331768204397996e+153

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	381	86
1	381	86

end0.0ms (0%)

sample2.4s (20.8%)

Algorithm

1×

intervals

Results

284.0ms	8000×	body	128	valid
108.0ms	3068×	body	128	invalid

Compiler

Compiled 1975 to 1639 computations (17% saved)

Details

analyze1.1s (9.1%)

sample27.0ms (0.2%)

simplify47.0ms (0.4%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite66.0ms (0.6%)

series570.0ms (4.8%)

simplify75.0ms (0.6%)

prune73.0ms (0.6%)

localize16.0ms (0.1%)

rewrite156.0ms (1.3%)

series1.6s (14%)

simplify86.0ms (0.7%)

prune146.0ms (1.2%)

localize11.0ms (0.1%)

rewrite578.0ms (4.9%)

series921.0ms (7.8%)

simplify134.0ms (1.1%)

prune367.0ms (3.1%)

localize9.0ms (0.1%)

rewrite352.0ms (3%)

series284.0ms (2.4%)

simplify92.0ms (0.8%)

prune230.0ms (2%)

regimes2.3s (19.4%)

bsearch58.0ms (0.5%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample2.4s (20.8%)

Profiling