Details

analyze1.1s (17%)

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%	73.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	30×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify284.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5502	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: 1.1b

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 (-.f64 z t) (-.f64 a t))
1.9b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_15600`
70×	`*-un-lft-identity_binary64_15579`
51×	`times-frac_binary64_15585`
31×	`associate-r_binary64_15521`
26×	`add-cube-cbrt_binary64_15611`
22×	`distribute-lft-out--_binary64_15533` `difference-of-squares_binary64_15548`
9×	`add-exp-log_binary64_15614` `add-cbrt-cube_binary64_15612`
5×	`associate-/r_binary64_15525` `associate-/l_binary64_15526`
4×	`pow1_binary64_15637` `associate-/r/_binary64_15527`
3×	`flip--_binary64_15554` `flip3--_binary64_15583` `associate-l_binary64_15522`
2×	`div-inv_binary64_15576` `cbrt-undiv_binary64_15610` `div-exp_binary64_15627` `add-log-exp_binary64_15615` `associate-/l/_binary64_15528` `prod-exp_binary64_15625` `cbrt-unprod_binary64_15609` `unswap-sqr_binary64_15547`
1×	`pow-prod-down_binary64_15647` `clear-num_binary64_15578` `div-sub_binary64_15584` `frac-2neg_binary64_15590` `associate-r/_binary64_15523` `-commutative_binary64_15512`

Counts

2 → 102

Calls

2 calls:

16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

series279.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

183.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
96.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5261	1767

prune97.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

Compiler

Compiled 2099 to 477 computations (77.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
0.5b	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
1.9b	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))

rewrite111.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_15585`
335×	`add-sqr-sqrt_binary64_15600`
323×	`*-un-lft-identity_binary64_15579`
157×	`add-cube-cbrt_binary64_15611`
98×	`associate-r_binary64_15521`
82×	`distribute-lft-out--_binary64_15533` `difference-of-squares_binary64_15548`
36×	`associate-/r*_binary64_15525`
35×	`add-exp-log_binary64_15614`
19×	`add-cbrt-cube_binary64_15612`
18×	`associate-/r/_binary64_15527`
15×	`div-exp_binary64_15627`
10×	`div-inv_binary64_15576`
9×	`flip--_binary64_15554` `flip3--_binary64_15583`
8×	`associate-/l*_binary64_15526`
7×	`cbrt-undiv_binary64_15610` `prod-exp_binary64_15625`
6×	`pow1_binary64_15637`
5×	`unswap-sqr_binary64_15547`
4×	`1-exp_binary64_15620` `rec-exp_binary64_15626`
3×	`add-log-exp_binary64_15615` `cbrt-unprod_binary64_15609` `associate-l_binary64_15522`
2×	`clear-num_binary64_15578` `associate-/l/_binary64_15528` `frac-2neg_binary64_15590`
1×	`pow-prod-down_binary64_15647` `un-div-inv_binary64_15577` `div-sub_binary64_15584` `associate-r/_binary64_15523` `pow-flip_binary64_15650` `inv-pow_binary64_15661` `-commutative_binary64_15512`

Counts

3 → 327

Calls

3 calls:

35.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))
14.0ms	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series610.0ms (9.2%)

Counts

3 → 9

Calls

3 calls:

313.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t))))
205.0ms	(/.f64 1 (/.f64 (-.f64 a t) (-.f64 z t)))
92.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4973	6747
1	4973	6747

prune274.0ms (4.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	340	4	344

Merged error: 0.0b

Counts

344 → 4

Compiler

Compiled 7448 to 2026 computations (72.8% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.0b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_15585`
194×	`*-un-lft-identity_binary64_15579` `add-sqr-sqrt_binary64_15600`
90×	`add-cube-cbrt_binary64_15611`
52×	`distribute-lft-out--_binary64_15533` `difference-of-squares_binary64_15548`
36×	`associate-/r*_binary64_15525`
11×	`associate-/r/_binary64_15527`
9×	`add-exp-log_binary64_15614` `add-cbrt-cube_binary64_15612`
8×	`associate-/l*_binary64_15526`
6×	`flip--_binary64_15554` `div-inv_binary64_15576` `flip3--_binary64_15583`
4×	`cbrt-undiv_binary64_15610` `div-exp_binary64_15627`
2×	`clear-num_binary64_15578` `pow1_binary64_15637` `add-log-exp_binary64_15615` `associate-/l/_binary64_15528` `frac-2neg_binary64_15590`
1×	`div-sub_binary64_15584`

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))

series409.0ms (6.2%)

Counts

2 → 6

Calls

2 calls:

314.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
95.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5028	4887

prune144.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	199	5	204

Merged error: 0b

Counts

204 → 5

Compiler

Compiled 4282 to 712 computations (83.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 a t))
0.0b	(/.f64 1 (-.f64 z t))
8.7b	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))

rewrite148.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

1131×	`times-frac_binary64_15585`
699×	`*-un-lft-identity_binary64_15579` `add-sqr-sqrt_binary64_15600`
419×	`add-cube-cbrt_binary64_15611`
140×	`distribute-lft-out--_binary64_15533` `difference-of-squares_binary64_15548`
93×	`associate-/r/_binary64_15527`
47×	`div-inv_binary64_15576`
46×	`flip--_binary64_15554` `flip3--_binary64_15583`
31×	`associate-/r*_binary64_15525` `add-exp-log_binary64_15614`
27×	`associate-/l*_binary64_15526`
19×	`div-exp_binary64_15627` `add-cbrt-cube_binary64_15612`
10×	`cbrt-undiv_binary64_15610`
4×	`pow1_binary64_15637`
3×	`clear-num_binary64_15578` `1-exp_binary64_15620` `add-log-exp_binary64_15615` `frac-2neg_binary64_15590` `rec-exp_binary64_15626`
1×	`associate-/l/_binary64_15528` `pow-flip_binary64_15650` `inv-pow_binary64_15661`

Counts

3 → 585

Calls

3 calls:

28.0ms	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))
6.0ms	(/.f64 y (-.f64 a t))
6.0ms	(/.f64 1 (-.f64 z t))

series416.0ms (6.3%)

Counts

3 → 9

Calls

3 calls:

305.0ms	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))
67.0ms	(/.f64 y (-.f64 a t))
44.0ms	(/.f64 1 (-.f64 z t))

simplify203.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

594 → 594

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5020	19092

prune526.0ms (7.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	594	0	594
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	594	5	599

Merged error: 0b

Counts

599 → 5

Compiler

Compiled 15004 to 3528 computations (76.5% saved)

regimes443.0ms (6.7%)

Compiler: Compiled 4246 to 3212 computations (24.4% 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%)

sample1.2s (17.4%)

Algorithm

1×

intervals

Results

323.0ms	8000×	body	128	valid
28.0ms	754×	body	128	invalid

Compiler

Compiled 550 to 409 computations (25.6% saved)

Details

analyze1.1s (17%)

sample24.0ms (0.4%)

simplify284.0ms (4.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite36.0ms (0.5%)

series279.0ms (4.2%)

simplify51.0ms (0.8%)

prune97.0ms (1.5%)

localize12.0ms (0.2%)

rewrite111.0ms (1.7%)

series610.0ms (9.2%)

simplify113.0ms (1.7%)

prune274.0ms (4.1%)

localize14.0ms (0.2%)

rewrite48.0ms (0.7%)

series409.0ms (6.2%)

simplify86.0ms (1.3%)

prune144.0ms (2.2%)

localize9.0ms (0.1%)

rewrite148.0ms (2.2%)

series416.0ms (6.3%)

simplify203.0ms (3.1%)

prune526.0ms (7.9%)

regimes443.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (17.4%)

Profiling