Details

analyze937.0ms (13.5%)

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)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	255×	body	128	valid
1.0ms	23×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify273.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4824	16
1	4824	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: 13.0b

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))
13.5b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_15937`
12×	`*-un-lft-identity_binary64_15916`
9×	`add-cbrt-cube_binary64_15949` `add-exp-log_binary64_15951`
6×	`add-cube-cbrt_binary64_15948`
5×	`associate-/r_binary64_15862` `times-frac_binary64_15922` `associate-r*_binary64_15858`
4×	`associate-*r/_binary64_15860` `pow1_binary64_15974`
3×	`flip3--_binary64_15920` `associate-l_binary64_15859` `distribute-lft-out--_binary64_15870` `flip--_binary64_15891` `difference-of-squares_binary64_15885`
2×	`associate-/r/_binary64_15864` `div-exp_binary64_15964` `associate-/l/_binary64_15865` `cbrt-undiv_binary64_15947` `add-log-exp_binary64_15952` `prod-exp_binary64_15962` `cbrt-unprod_binary64_15946` `sub-neg_binary64_15909`
1×	`clear-num_binary64_15915` `pow-prod-down_binary64_15984` `distribute-rgt-in_binary64_15868` `frac-2neg_binary64_15927` `associate-/l_binary64_15863` `-commutative_binary64_15849` `unswap-sqr_binary64_15884` `distribute-lft-in_binary64_15867` `div-inv_binary64_15913`

Counts

2 → 53

Calls

2 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
7.0ms	(*.f64 y (-.f64 z t))

series234.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

172.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
62.0ms	(*.f64 y (-.f64 z t))

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5001	716

prune58.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

Compiler

Compiled 984 to 300 computations (69.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.7b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_15922`
194×	`add-sqr-sqrt_binary64_15937` `*-un-lft-identity_binary64_15916`
90×	`add-cube-cbrt_binary64_15948`
52×	`distribute-lft-out--_binary64_15870` `difference-of-squares_binary64_15885`
36×	`associate-/r*_binary64_15862`
11×	`associate-/r/_binary64_15864`
9×	`add-cbrt-cube_binary64_15949` `add-exp-log_binary64_15951`
8×	`associate-/l*_binary64_15863`
6×	`flip3--_binary64_15920` `flip--_binary64_15891` `div-inv_binary64_15913`
4×	`div-exp_binary64_15964` `cbrt-undiv_binary64_15947`
2×	`clear-num_binary64_15915` `associate-/l/_binary64_15865` `frac-2neg_binary64_15927` `pow1_binary64_15974` `add-log-exp_binary64_15952`
1×	`div-sub_binary64_15921`

Counts

2 → 194

Calls

2 calls:

14.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series423.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

329.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
94.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5028	4887

prune160.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	198	8	206

Merged error: 0b

Counts

206 → 8

Compiler

Compiled 4365 to 763 computations (82.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
6.6b	(cbrt.f64 (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
6.6b	(cbrt.f64 (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
6.6b	(cbrt.f64 (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))

rewrite171.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

697×	`times-frac_binary64_15922`
535×	`add-sqr-sqrt_binary64_15937` `*-un-lft-identity_binary64_15916`
294×	`cbrt-prod_binary64_15944`
275×	`add-cube-cbrt_binary64_15948`
130×	`distribute-lft-out--_binary64_15870` `difference-of-squares_binary64_15885`
31×	`associate-/r*_binary64_15862`
30×	`associate-/r/_binary64_15864`
17×	`div-inv_binary64_15913`
13×	`flip3--_binary64_15920` `flip--_binary64_15891`
9×	`add-cbrt-cube_binary64_15949` `add-exp-log_binary64_15951`
4×	`pow1_binary64_15974` `add-log-exp_binary64_15952`
3×	`div-exp_binary64_15964` `pow1/3_binary64_15995` `cbrt-undiv_binary64_15947` `associate-/l*_binary64_15863` `cbrt-div_binary64_15945`
1×	`clear-num_binary64_15915` `frac-2neg_binary64_15927`

Counts

4 → 463

Calls

4 calls:

21.0ms	(cbrt.f64 (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
16.0ms	(cbrt.f64 (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
15.0ms	(cbrt.f64 (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
14.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series2.0s (28.2%)

Counts

4 → 12

Calls

4 calls:

567.0ms	(cbrt.f64 (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
549.0ms	(cbrt.f64 (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
543.0ms	(cbrt.f64 (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
291.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify186.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

475 → 475

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4988	15537
1	4988	15537

prune515.0ms (7.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	475	0	475
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	475	8	483

Merged error: 0b

Counts

483 → 8

Compiler

Compiled 22287 to 1980 computations (91.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.2b

(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_15937`
21×	`associate-l_binary64_15859`
19×	`*-un-lft-identity_binary64_15916`
16×	`times-frac_binary64_15922`
11×	`add-cube-cbrt_binary64_15948`
6×	`add-cbrt-cube_binary64_15949` `add-exp-log_binary64_15951`
5×	`associate-r_binary64_15858`
4×	`distribute-lft-out--_binary64_15870` `difference-of-squares_binary64_15885`
3×	`flip3--_binary64_15920` `pow1_binary64_15974` `flip--_binary64_15891`
2×	`associate-/r/_binary64_15864` `associate-*r/_binary64_15860` `frac-times_binary64_15926` `prod-exp_binary64_15962` `cbrt-unprod_binary64_15946` `unswap-sqr_binary64_15884` `sub-neg_binary64_15909`
1×	`div-exp_binary64_15964` `pow-prod-down_binary64_15984` `distribute-rgt-in_binary64_15868` `cbrt-undiv_binary64_15947` `add-log-exp_binary64_15952` `associate-l/_binary64_15861` `-commutative_binary64_15849` `distribute-lft-in_binary64_15867` `div-inv_binary64_15913`

Counts

1 → 48

Calls

1 calls:

14.0ms

(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

series317.0ms (4.6%)

Counts

1 → 3

Calls

1 calls:

317.0ms

(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5311	819

prune37.0ms (0.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	51	8	59

Merged error: 0b

Counts

59 → 8

Compiler

Compiled 917 to 233 computations (74.6% saved)

regimes301.0ms (4.3%)

Compiler: Compiled 2687 to 1946 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms (0%)

sample1.0s (14.6%)

Algorithm

1×

intervals

Results

313.0ms	7998×	body	128	valid
27.0ms	745×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 396 to 291 computations (26.5% saved)

Details

analyze937.0ms (13.5%)

sample24.0ms (0.3%)

simplify273.0ms (3.9%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite22.0ms (0.3%)

series234.0ms (3.4%)

simplify43.0ms (0.6%)

prune58.0ms (0.8%)

localize8.0ms (0.1%)

rewrite51.0ms (0.7%)

series423.0ms (6.1%)

simplify88.0ms (1.3%)

prune160.0ms (2.3%)

localize13.0ms (0.2%)

rewrite171.0ms (2.5%)

series2.0s (28.2%)

simplify186.0ms (2.7%)

prune515.0ms (7.4%)

localize8.0ms (0.1%)

rewrite19.0ms (0.3%)

series317.0ms (4.6%)

simplify57.0ms (0.8%)

prune37.0ms (0.5%)

regimes301.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (14.6%)

Profiling