Details

analyze536.0ms (12.2%)

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	25×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify304.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5605	13

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: 15.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
14.3b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_16613`
14×	`*-un-lft-identity_binary64_16591`
9×	`add-cbrt-cube_binary64_16627` `add-exp-log_binary64_16629`
8×	`add-cube-cbrt_binary64_16626`
6×	`cancel-sign-sub-inv_binary64_16557`
5×	`associate-/r_binary64_16535` `times-frac_binary64_16597` `associate-r*_binary64_16531`
4×	`distribute-rgt-in_binary64_16541` `distribute-lft-in_binary64_16540` `associate-*r/_binary64_16533` `pow1_binary64_16652`
3×	`distribute-lft-out--_binary64_16543` `flip--_binary64_16566` `associate-l_binary64_16532` `flip3--_binary64_16595` `difference-of-squares_binary64_16560`
2×	`associate-/r/_binary64_16537` `prod-exp_binary64_16640` `associate-/l/_binary64_16538` `sub-neg_binary64_16584` `cbrt-unprod_binary64_16624` `cbrt-undiv_binary64_16625` `add-log-exp_binary64_16630` `div-exp_binary64_16642`
1×	`frac-2neg_binary64_16602` `associate-/l_binary64_16536` `-commutative_binary64_16522` `div-inv_binary64_16588` `pow-prod-down_binary64_16662` `clear-num_binary64_16590` `unswap-sqr_binary64_16559`

Counts

2 → 59

Calls

2 calls:

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

series250.0ms (5.7%)

Counts

2 → 6

Calls

2 calls:

182.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
68.0ms	(*.f64 x (-.f64 y z))

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5307	780

prune116.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

Compiler

Compiled 2038 to 973 computations (52.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
1.2b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_16613`
70×	`*-un-lft-identity_binary64_16591`
51×	`times-frac_binary64_16597`
31×	`associate-r_binary64_16531`
26×	`add-cube-cbrt_binary64_16626`
22×	`distribute-lft-out--_binary64_16543` `difference-of-squares_binary64_16560`
9×	`add-cbrt-cube_binary64_16627` `add-exp-log_binary64_16629`
5×	`associate-/r_binary64_16535` `associate-/l_binary64_16536`
4×	`associate-/r/_binary64_16537` `pow1_binary64_16652`
3×	`flip--_binary64_16566` `associate-l_binary64_16532` `flip3--_binary64_16595`
2×	`prod-exp_binary64_16640` `associate-/l/_binary64_16538` `div-inv_binary64_16588` `unswap-sqr_binary64_16559` `cbrt-unprod_binary64_16624` `cbrt-undiv_binary64_16625` `add-log-exp_binary64_16630` `div-exp_binary64_16642`
1×	`frac-2neg_binary64_16602` `-commutative_binary64_16522` `pow-prod-down_binary64_16662` `clear-num_binary64_16590` `associate-r/_binary64_16533` `div-sub_binary64_16596`

Counts

2 → 102

Calls

2 calls:

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

series267.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

174.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
92.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5286	1767

prune90.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

Compiler

Compiled 2036 to 500 computations (75.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.6b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_16597`
194×	`*-un-lft-identity_binary64_16591` `add-sqr-sqrt_binary64_16613`
90×	`add-cube-cbrt_binary64_16626`
52×	`distribute-lft-out--_binary64_16543` `difference-of-squares_binary64_16560`
36×	`associate-/r*_binary64_16535`
11×	`associate-/r/_binary64_16537`
9×	`add-cbrt-cube_binary64_16627` `add-exp-log_binary64_16629`
8×	`associate-/l*_binary64_16536`
6×	`flip--_binary64_16566` `div-inv_binary64_16588` `flip3--_binary64_16595`
4×	`cbrt-undiv_binary64_16625` `div-exp_binary64_16642`
2×	`frac-2neg_binary64_16602` `associate-/l/_binary64_16538` `clear-num_binary64_16590` `pow1_binary64_16652` `add-log-exp_binary64_16630`
1×	`div-sub_binary64_16596`

Counts

2 → 194

Calls

2 calls:

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

series398.0ms (9.1%)

Counts

2 → 6

Calls

2 calls:

312.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
85.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

simplify92.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5028	4887

prune166.0ms (3.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	199	7	206

Merged error: 0b

Counts

206 → 7

Compiler

Compiled 4263 to 850 computations (80.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 t z))
0.6b	(cbrt.f64 (-.f64 t z))
0.6b	(cbrt.f64 (-.f64 t z))
1.6b	(/.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z))) (/.f64 (cbrt.f64 (-.f64 t z)) (-.f64 y z))))

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-div_binary64_16623`
22×	`add-exp-log_binary64_16629`
17×	`associate-/r/_binary64_16537`
16×	`frac-times_binary64_16601` `add-cbrt-cube_binary64_16627`
15×	`flip--_binary64_16566` `*-un-lft-identity_binary64_16591` `add-sqr-sqrt_binary64_16613` `cbrt-prod_binary64_16622` `flip3--_binary64_16595`
12×	`associate-*l/_binary64_16534`
9×	`add-cube-cbrt_binary64_16626`
7×	`cbrt-undiv_binary64_16625` `div-exp_binary64_16642`
6×	`prod-exp_binary64_16640` `cbrt-unprod_binary64_16624`
5×	`associate-*r/_binary64_16533`
4×	`pow1_binary64_16652` `add-log-exp_binary64_16630`
3×	`distribute-lft-out--_binary64_16543` `associate-/l*_binary64_16536` `times-frac_binary64_16597` `pow1/3_binary64_16673` `difference-of-squares_binary64_16560`
1×	`frac-2neg_binary64_16602` `associate-/r*_binary64_16535` `div-inv_binary64_16588` `clear-num_binary64_16590`

Counts

4 → 89

Calls

4 calls:

24.0ms	(/.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z))) (/.f64 (cbrt.f64 (-.f64 t z)) (-.f64 y z))))
4.0ms	(cbrt.f64 (-.f64 t z))
3.0ms	(cbrt.f64 (-.f64 t z))
3.0ms	(cbrt.f64 (-.f64 t z))

series991.0ms (22.6%)

Counts

4 → 12

Calls

4 calls:

340.0ms	(/.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z))) (/.f64 (cbrt.f64 (-.f64 t z)) (-.f64 y z))))
222.0ms	(cbrt.f64 (-.f64 t z))
218.0ms	(cbrt.f64 (-.f64 t z))
211.0ms	(cbrt.f64 (-.f64 t z))

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5166	1822

prune87.0ms (2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Merged error: 0b

Counts

108 → 7

Compiler

Compiled 2477 to 533 computations (78.5% saved)

regimes76.0ms (1.7%)

Compiler: Compiled 471 to 388 computations (17.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample657.0ms (15%)

Algorithm

1×

intervals

Results

256.0ms	8000×	body	128	valid
25.0ms	672×	body	128	invalid

Compiler

Compiled 117 to 97 computations (17.1% saved)

Details

analyze536.0ms (12.2%)

sample18.0ms (0.4%)

simplify304.0ms (6.9%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite23.0ms (0.5%)

series250.0ms (5.7%)

simplify51.0ms (1.2%)

prune116.0ms (2.6%)

localize6.0ms (0.1%)

rewrite35.0ms (0.8%)

series267.0ms (6.1%)

simplify49.0ms (1.1%)

prune90.0ms (2%)

localize7.0ms (0.2%)

rewrite47.0ms (1.1%)

series398.0ms (9.1%)

simplify92.0ms (2.1%)

prune166.0ms (3.8%)

localize10.0ms (0.2%)

rewrite46.0ms (1%)

series991.0ms (22.6%)

simplify60.0ms (1.4%)

prune87.0ms (2%)

regimes76.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample657.0ms (15%)

Profiling