Details

analyze945.0ms (16.7%)

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify385.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (285.0ms)

Iter	Nodes	Cost
0	5693	16

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

Merged error: 10.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
10.5b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_17491`
14×	`*-un-lft-identity_binary64_17469`
9×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
8×	`add-cube-cbrt_binary64_17504`
6×	`cancel-sign-sub-inv_binary64_17435`
5×	`associate-/r_binary64_17413` `times-frac_binary64_17475` `associate-r*_binary64_17409`
4×	`distribute-rgt-in_binary64_17419` `associate-*r/_binary64_17411` `distribute-lft-in_binary64_17418` `pow1_binary64_17530`
3×	`associate-l_binary64_17410` `difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421` `flip3--_binary64_17473` `flip--_binary64_17444`
2×	`sub-neg_binary64_17462` `associate-/l/_binary64_17416` `prod-exp_binary64_17518` `associate-/r/_binary64_17415` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `cbrt-unprod_binary64_17502` `add-log-exp_binary64_17508`
1×	`associate-/l_binary64_17414` `-commutative_binary64_17400` `frac-2neg_binary64_17480` `unswap-sqr_binary64_17437` `clear-num_binary64_17468` `pow-prod-down_binary64_17540` `div-inv_binary64_17466`

Counts

2 → 59

Calls

2 calls:

11.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
8.0ms	(*.f64 y (-.f64 z t))

series343.0ms (6%)

Counts

2 → 38

Calls

2 calls:

245.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
98.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1034 to 821 computations (20.6% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5188	1350

prune84.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

Compiler

Compiled 1561 to 420 computations (73.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.5b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_17491`
70×	`*-un-lft-identity_binary64_17469`
51×	`times-frac_binary64_17475`
31×	`associate-r_binary64_17409`
26×	`add-cube-cbrt_binary64_17504`
22×	`difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421`
9×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
5×	`associate-/l_binary64_17414` `associate-/r_binary64_17413`
4×	`associate-/r/_binary64_17415` `pow1_binary64_17530`
3×	`associate-l_binary64_17410` `flip3--_binary64_17473` `flip--_binary64_17444`
2×	`associate-/l/_binary64_17416` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `cbrt-unprod_binary64_17502` `add-log-exp_binary64_17508` `div-inv_binary64_17466`
1×	`-commutative_binary64_17400` `div-sub_binary64_17474` `associate-r/_binary64_17411` `frac-2neg_binary64_17480` `clear-num_binary64_17468` `pow-prod-down_binary64_17540`

Counts

2 → 102

Calls

2 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

series404.0ms (7.1%)

Counts

2 → 43

Calls

2 calls:

249.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
155.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 1338 to 1047 computations (21.7% saved)

simplify286.0ms (5%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	2696
1	4990	2696

prune115.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	143	7	150

Merged error: 0.0b

Counts

150 → 7

Compiler

Compiled 2811 to 664 computations (76.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.8b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite46.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_17475`
194×	`*-un-lft-identity_binary64_17469` `add-sqr-sqrt_binary64_17491`
90×	`add-cube-cbrt_binary64_17504`
52×	`difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421`
36×	`associate-/r*_binary64_17413`
11×	`associate-/r/_binary64_17415`
9×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
8×	`associate-/l*_binary64_17414`
6×	`div-inv_binary64_17466` `flip3--_binary64_17473` `flip--_binary64_17444`
4×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503`
2×	`associate-/l/_binary64_17416` `frac-2neg_binary64_17480` `clear-num_binary64_17468` `add-log-exp_binary64_17508` `pow1_binary64_17530`
1×	`div-sub_binary64_17474`

Counts

2 → 194

Calls

2 calls:

13.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series433.0ms (7.6%)

Counts

2 → 47

Calls

2 calls:

247.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
186.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 1540 to 1200 computations (22.1% saved)

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5107	5951

prune185.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	239	2	241
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	243	5	248

Merged error: 0b

Counts

248 → 5

Compiler

Compiled 5122 to 957 computations (81.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 a t))
0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
1.5b	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64_17491`
41×	`*-un-lft-identity_binary64_17469`
32×	`times-frac_binary64_17475`
31×	`add-exp-log_binary64_17507`
24×	`add-cube-cbrt_binary64_17504`
22×	`associate-r_binary64_17409`
19×	`add-cbrt-cube_binary64_17505`
13×	`prod-exp_binary64_17518`
11×	`pow1_binary64_17530`
8×	`associate-l_binary64_17410` `associate-*r/_binary64_17411` `difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421`
7×	`cbrt-unprod_binary64_17502`
6×	`div-exp_binary64_17520` `flip3--_binary64_17473` `flip--_binary64_17444`
5×	`associate-/r*_binary64_17413`
4×	`associate-/r/_binary64_17415` `frac-times_binary64_17479` `associate-*l/_binary64_17412` `pow-prod-down_binary64_17540`
3×	`associate-/l*_binary64_17414` `unswap-sqr_binary64_17437` `cbrt-undiv_binary64_17503` `rec-exp_binary64_17519` `add-log-exp_binary64_17508` `1-exp_binary64_17513`
2×	`*-commutative_binary64_17400` `un-div-inv_binary64_17467` `div-inv_binary64_17466`
1×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `pow-flip_binary64_17543` `inv-pow_binary64_17554`

Counts

3 → 119

Calls

3 calls:

15.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
13.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
6.0ms	(/.f64 1 (-.f64 a t))

series445.0ms (7.9%)

Counts

3 → 57

Calls

3 calls:

244.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
150.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
51.0ms	(/.f64 1 (-.f64 a t))

Compiler

Compiled 1684 to 1349 computations (19.9% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5112	2701

prune130.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	176	5	181

Merged error: 0b

Counts

181 → 5

Compiler

Compiled 3116 to 1021 computations (67.2% saved)

regimes389.0ms (6.9%)

Compiler: Compiled 3531 to 2786 computations (21.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms (0%)

sample1.1s (19.2%)

Algorithm

1×

intervals

Results

320.0ms	8000×	body	128	valid
32.0ms	754×	body	128	invalid

Compiler

Compiled 517 to 412 computations (20.3% saved)

Details

analyze945.0ms (16.7%)

sample22.0ms (0.4%)

simplify385.0ms (6.8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite24.0ms (0.4%)

series343.0ms (6%)

simplify63.0ms (1.1%)

prune84.0ms (1.5%)

localize8.0ms (0.1%)

rewrite34.0ms (0.6%)

series404.0ms (7.1%)

simplify286.0ms (5%)

prune115.0ms (2%)

localize8.0ms (0.1%)

rewrite46.0ms (0.8%)

series433.0ms (7.6%)

simplify88.0ms (1.6%)

prune185.0ms (3.3%)

localize9.0ms (0.2%)

rewrite49.0ms (0.9%)

series445.0ms (7.9%)

simplify74.0ms (1.3%)

prune130.0ms (2.3%)

regimes389.0ms (6.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (19.2%)

Profiling