Details

analyze46.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	6×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify263.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

13.6b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
29.0b	(/.f64 (.f64 b b) (.f64 a a))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`add-sqr-sqrt_binary64_782`
9×	`*-un-lft-identity_binary64_760`
5×	`cancel-sign-sub-inv_binary64_726` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799`
4×	`cbrt-undiv_binary64_794` `prod-exp_binary64_809` `difference-of-squares_binary64_729` `cbrt-unprod_binary64_793` `div-exp_binary64_811` `pow1_binary64_821` `times-frac_binary64_766`
3×	`sqrt-prod_binary64_776`
2×	`div-inv_binary64_757`
1×	`diff-log_binary64_852` `rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `sqrt-pow1_binary64_778` `associate-/r_binary64_704` `associate-/l_binary64_705` `distribute-lft-out--_binary64_712` `pow1/2_binary64_840` `clear-num_binary64_759` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 55

Calls

3 calls:

15.0ms	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))
7.0ms	(/.f64 (.f64 b b) (.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

series118.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

55.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
39.0ms	(/.f64 (.f64 b b) (.f64 a a))
23.0ms	(-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))

simplify95.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5440	905

prune104.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

0.0b

Counts

65 → 2

Compiler

Compiled 937 to 449 computations (52.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))
0.0b	(log.f64 (/.f64 b a))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))
4.0b	(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))

rewrite40.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`log-prod_binary64_846`
61×	`add-sqr-sqrt_binary64_782`
60×	`exp-sum_binary64_806`
49×	`times-frac_binary64_766`
48×	`*-un-lft-identity_binary64_760`
41×	`add-cube-cbrt_binary64_795`
30×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
29×	`cancel-sign-sub-inv_binary64_726`
10×	`difference-of-squares_binary64_729`
8×	`add-log-exp_binary64_799`
7×	`add-exp-log_binary64_798`
6×	`pow1_binary64_821`
5×	`div-inv_binary64_757`
4×	`add-cbrt-cube_binary64_796`
3×	`sqrt-prod_binary64_776`
2×	`rem-log-exp_binary64_801`
1×	`diff-log_binary64_852` `log-div_binary64_847` `rem-sqrt-square_binary64_773` `exp-prod_binary64_812` `sqrt-pow1_binary64_778` `rem-exp-log_binary64_800` `log-pow_binary64_849` `distribute-lft-out--_binary64_712` `exp-to-pow_binary64_822` `pow1/2_binary64_840` `div-exp_binary64_811` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 124

Calls

4 calls:

16.0ms	(-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))
5.0ms	(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))
3.0ms	(log.f64 (/.f64 b a))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))

series122.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))
25.0ms	(-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))
25.0ms	(log.f64 (/.f64 b a))
21.0ms	(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))

simplify79.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5186	1826

prune134.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	136	2	138

Error

Counts

138 → 2

Compiler

Compiled 1946 to 1196 computations (38.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (pow.f64 (/.f64 b a) 2)))))
0.0b	(/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (pow.f64 (/.f64 b a) 2)))
0.4b	(pow.f64 (/.f64 b a) 4)
0.4b	(pow.f64 (/.f64 b a) 2)

rewrite62.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

100×	`add-sqr-sqrt_binary64_782`
95×	`*-un-lft-identity_binary64_760`
76×	`times-frac_binary64_766`
46×	`unpow-prod-down_binary64_839`
40×	`difference-of-squares_binary64_729`
39×	`add-cube-cbrt_binary64_795`
13×	`distribute-lft-out_binary64_711`
12×	`add-exp-log_binary64_798` `associate-/l*_binary64_705` `sqr-pow_binary64_732`
7×	`pow1_binary64_821`
6×	`add-cbrt-cube_binary64_796` `pow-unpow_binary64_837`
5×	`distribute-lft-out--_binary64_712`
4×	`associate-/r*_binary64_704` `add-log-exp_binary64_799` `pow-exp_binary64_828`
3×	`sqrt-prod_binary64_776` `div-inv_binary64_757` `div-exp_binary64_811`
2×	`associate-/r/_binary64_706` `associate-/l/_binary64_707` `pow-to-exp_binary64_829` `pow-pow_binary64_832`
1×	`rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `unpow2_binary64_825` `flip3-+_binary64_763` `sqrt-pow1_binary64_778` `flip-+_binary64_734` `div-sub_binary64_765` `pow1/2_binary64_840` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 151

Calls

4 calls:

27.0ms	(/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (pow.f64 (/.f64 b a) 2)))
5.0ms	(pow.f64 (/.f64 b a) 2)
4.0ms	(pow.f64 (/.f64 b a) 4)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (pow.f64 (/.f64 b a) 2)))))

series211.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (pow.f64 (/.f64 b a) 2)))))
79.0ms	(/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (pow.f64 (/.f64 b a) 2)))
31.0ms	(pow.f64 (/.f64 b a) 4)
14.0ms	(pow.f64 (/.f64 b a) 2)

simplify148.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4964	4093
1	4964	4093

prune306.0ms (8.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	163	2	165

Error

Counts

165 → 2

Compiler

Compiled 4167 to 2716 computations (34.8% saved)

regimes282.0ms (8.2%)

Accuracy

Total 0.0b remaining (86.2%)

Threshold costs 0.0b (86.2%)

Compiler

Compiled 1609 to 1228 computations (23.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	26
1	25	26

end0.0ms (0%)

sample1.3s (38.6%)

Algorithm

1×

intervals

Results

437.0ms	8000×	body	128	valid
247.0ms	8000×	pre	128	true
3.0ms	107×	pre	128	false

Compiler

Compiled 222 to 173 computations (22.1% saved)

Details

analyze46.0ms (1.3%)

sample23.0ms (0.7%)

simplify263.0ms (7.7%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite31.0ms (0.9%)

series118.0ms (3.4%)

simplify95.0ms (2.8%)

prune104.0ms (3%)

localize12.0ms (0.4%)

rewrite40.0ms (1.2%)

series122.0ms (3.6%)

simplify79.0ms (2.3%)

prune134.0ms (3.9%)

localize15.0ms (0.4%)

rewrite62.0ms (1.8%)

series211.0ms (6.2%)

simplify148.0ms (4.3%)

prune306.0ms (8.9%)

regimes282.0ms (8.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (38.6%)

Profiling