Details

analyze949.0ms (14.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
7.0ms	100×	body	128	invalid

Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify230.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4898	19
1	4898	19

prune8.0ms (0.1%)

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

11.2b

Counts

2 → 2

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
1.2b	(-.f64 (.f64 z z) (.f64 x x))
11.8b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_11353`
15×	`*-un-lft-identity_binary64_11331`
13×	`add-cube-cbrt_binary64_11366` `times-frac_binary64_11337`
7×	`difference-of-squares_binary64_11300` `add-log-exp_binary64_11370`
5×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
4×	`associate-/l*_binary64_11276` `cancel-sign-sub-inv_binary64_11297`
3×	`pow1_binary64_11392` `associate-/r*_binary64_11275` `flip3--_binary64_11335` `flip--_binary64_11306`
2×	`associate-/l/_binary64_11278` `sub-neg_binary64_11324` `diff-log_binary64_11423` `div-sub_binary64_11336`
1×	`distribute-lft-out--_binary64_11283` `div-exp_binary64_11382` `associate--l-_binary64_11269` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

3 → 65

Calls

3 calls:

11.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
6.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

series141.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

55.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
54.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
31.0ms	(-.f64 (.f64 z z) (.f64 x x))

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5012	1382

prune125.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	69	7	76

Error

Counts

76 → 7

Compiler

Compiled 1584 to 468 computations (70.5% saved)

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
0.0b	(/.f64 (-.f64 z x) y)
0.2b	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_11353`
40×	`*-un-lft-identity_binary64_11331`
31×	`times-frac_binary64_11337`
24×	`add-cube-cbrt_binary64_11366`
19×	`associate-r_binary64_11271`
10×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
7×	`distribute-lft-out--_binary64_11283` `difference-of-squares_binary64_11300`
5×	`pow1_binary64_11392` `associate-/l*_binary64_11276` `add-log-exp_binary64_11370`
4×	`associate-l_binary64_11272`
3×	`associate-/r*_binary64_11275` `cancel-sign-sub-inv_binary64_11297`
2×	`cbrt-unprod_binary64_11364` `div-exp_binary64_11382` `associate-/l/_binary64_11278` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `unswap-sqr_binary64_11299` `associate-*l/_binary64_11274` `flip3--_binary64_11335` `prod-exp_binary64_11380` `frac-times_binary64_11341` `flip3-+_binary64_11334` `flip-+_binary64_11305` `flip--_binary64_11306`
1×	`-commutative_binary64_11262` `sub-neg_binary64_11324` `frac-2neg_binary64_11342` `distribute-lft-out_binary64_11282` `diff-log_binary64_11423` `associate-r/_binary64_11273` `div-sub_binary64_11336` `pow-prod-down_binary64_11402` `clear-num_binary64_11330`

Counts

3 → 95

Calls

3 calls:

20.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))
13.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
6.0ms	(/.f64 (-.f64 z x) y)

series137.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

61.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))
50.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
26.0ms	(/.f64 (-.f64 z x) y)

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4956	1642
1	4956	1642

prune126.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	104	7	111

Error

Counts

111 → 7

Compiler

Compiled 2137 to 629 computations (70.6% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
0.0b	(/.f64 y (-.f64 z x))
0.3b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite112.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

177×	`times-frac_binary64_11337`
165×	`*-un-lft-identity_binary64_11331`
128×	`add-sqr-sqrt_binary64_11353`
81×	`add-cube-cbrt_binary64_11366`
26×	`associate-/r*_binary64_11275`
22×	`difference-of-squares_binary64_11300` `distribute-lft-out_binary64_11282`
20×	`distribute-lft-out--_binary64_11283`
13×	`associate-/r/_binary64_11277`
10×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
7×	`associate-/l*_binary64_11276` `div-inv_binary64_11328` `flip3--_binary64_11335` `flip--_binary64_11306`
5×	`add-log-exp_binary64_11370`
4×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365`
3×	`pow1_binary64_11392` `cancel-sign-sub-inv_binary64_11297`
2×	`associate-/l/_binary64_11278` `frac-2neg_binary64_11342` `clear-num_binary64_11330`
1×	`sub-neg_binary64_11324` `diff-log_binary64_11423` `flip3-+_binary64_11334` `flip-+_binary64_11305`

Counts

3 → 181

Calls

3 calls:

50.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
23.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
10.0ms	(/.f64 y (-.f64 z x))

series173.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

83.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
50.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
40.0ms	(/.f64 y (-.f64 z x))

simplify133.0ms (2%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4976	4391
1	4976	4391

prune204.0ms (3.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	192	5	197

Error

Counts

197 → 5

Compiler

Compiled 4276 to 1038 computations (75.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (/.f64 (+.f64 z x) y) (/.f64 1 (-.f64 z x))) y)
0.0b	(/.f64 (+.f64 z x) y)
0.0b	(/.f64 1 (-.f64 z x))
0.3b	(/.f64 (/.f64 (+.f64 z x) y) (/.f64 1 (-.f64 z x)))

rewrite358.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Rules

895×	`times-frac_binary64_11337`
607×	`*-un-lft-identity_binary64_11331`
488×	`add-sqr-sqrt_binary64_11353`
353×	`add-cube-cbrt_binary64_11366`
70×	`distribute-lft-out_binary64_11282`
62×	`difference-of-squares_binary64_11300`
56×	`distribute-lft-out--_binary64_11283`
42×	`div-inv_binary64_11328`
37×	`associate-/r/_binary64_11277`
32×	`add-exp-log_binary64_11369`
29×	`associate-/r*_binary64_11275`
23×	`associate-/l*_binary64_11276`
20×	`add-cbrt-cube_binary64_11367`
19×	`div-exp_binary64_11382` `flip3--_binary64_11335` `flip--_binary64_11306`
10×	`cbrt-undiv_binary64_11365`
6×	`add-log-exp_binary64_11370`
5×	`pow1_binary64_11392`
3×	`associate-/l/_binary64_11278` `1-exp_binary64_11375` `rec-exp_binary64_11381` `frac-2neg_binary64_11342` `cancel-sign-sub-inv_binary64_11297` `clear-num_binary64_11330`
1×	`sub-neg_binary64_11324` `pow-flip_binary64_11405` `inv-pow_binary64_11416` `diff-log_binary64_11423` `flip3-+_binary64_11334` `flip-+_binary64_11305`

Counts

4 → 493

Calls

4 calls:

186.0ms	(-.f64 (/.f64 (/.f64 (+.f64 z x) y) (/.f64 1 (-.f64 z x))) y)
41.0ms	(/.f64 (/.f64 (+.f64 z x) y) (/.f64 1 (-.f64 z x)))
11.0ms	(/.f64 1 (-.f64 z x))
11.0ms	(/.f64 (+.f64 z x) y)

series171.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(/.f64 (/.f64 (+.f64 z x) y) (/.f64 1 (-.f64 z x)))
39.0ms	(-.f64 (/.f64 (/.f64 (+.f64 z x) y) (/.f64 1 (-.f64 z x))) y)
36.0ms	(/.f64 1 (-.f64 z x))
20.0ms	(/.f64 (+.f64 z x) y)

simplify320.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

505 → 505

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4966	15070
1	4966	15070

prune660.0ms (9.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	505	0	505
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	505	5	510

Error

Counts

510 → 5

Compiler

Compiled 13141 to 3847 computations (70.7% saved)

regimes759.0ms (11.4%)

Accuracy

Total 0.1b remaining (84.2%)

Threshold costs 0.1b (84.2%)

Compiler

Compiled 4166 to 2490 computations (40.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms (0%)

sample1.7s (25.3%)

Algorithm

1×

intervals

Results

494.0ms	8000×	body	128	valid
187.0ms	2967×	body	128	invalid

Compiler

Compiled 589 to 363 computations (38.4% saved)

Details

analyze949.0ms (14.2%)

sample41.0ms (0.6%)

simplify230.0ms (3.4%)

prune8.0ms (0.1%)

localize16.0ms (0.2%)

rewrite25.0ms (0.4%)

series141.0ms (2.1%)

simplify81.0ms (1.2%)

prune125.0ms (1.9%)

localize23.0ms (0.4%)

rewrite48.0ms (0.7%)

series137.0ms (2.1%)

simplify113.0ms (1.7%)

prune126.0ms (1.9%)

localize17.0ms (0.3%)

rewrite112.0ms (1.7%)

series173.0ms (2.6%)

simplify133.0ms (2%)

prune204.0ms (3.1%)

localize13.0ms (0.2%)

rewrite358.0ms (5.4%)

series171.0ms (2.6%)

simplify320.0ms (4.8%)

prune660.0ms (9.9%)

regimes759.0ms (11.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (25.3%)

Profiling