Details

analyze932.0ms (18.4%)

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
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

sample45.0ms (0.9%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	80	valid
12.0ms	163×	body	80	invalid

simplify484.0ms (9.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5645	29

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 14.4b

Counts

2 → 1

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.9b	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r))
5.1b	(.f64 (.f64 (*.f64 w w) r) r)
7.6b	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1.0 v))
9.3b	(.f64 (.f64 w w) r)

rewrite72.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
57×	`cbrt-unprod_binary64` `prod-exp_binary64`
50×	`pow1_binary64`
33×	`pow-prod-down_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64`
5×	`associate-/r*_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 119

Calls

4 calls:

35.0ms	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1.0 v))
14.0ms	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r))
8.0ms	(.f64 (.f64 w w) r)
8.0ms	(.f64 (.f64 (*.f64 w w) r) r)

series85.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r))
30.0ms	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1.0 v))
14.0ms	(.f64 (.f64 w w) r)
9.0ms	(.f64 (.f64 (*.f64 w w) r) r)

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5242	1907

prune251.0ms (4.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	122	9	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	9	132

Merged error: 3.8b

Counts

132 → 9

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (*.f64 w r)))
0.4b	(/.f64 2.0 (*.f64 r r))
3.9b	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r))))
7.6b	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r)))) (-.f64 1.0 v))

rewrite38.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`pow1_binary64`
18×	`cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64`
8×	`times-frac_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-*l/_binary64`
3×	`flip3--_binary64` `swap-sqr_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`pow-prod-up_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 105

Calls

4 calls:

15.0ms	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r)))) (-.f64 1.0 v))
11.0ms	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r))))
5.0ms	(/.f64 2.0 (*.f64 r r))
4.0ms	(.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (*.f64 w r)))

series66.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r)))) (-.f64 1.0 v))
23.0ms	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r))))
5.0ms	(.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (*.f64 w r)))
4.0ms	(/.f64 2.0 (*.f64 r r))

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5161	1469

prune259.0ms (5.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	114	12	126

Merged error: 0.0b

Counts

126 → 12

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2))
0.3b	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
0.4b	(/.f64 2.0 (*.f64 r r))
5.2b	(/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2)))

rewrite46.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

167×	`times-frac_binary64`
117×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
67×	`add-cube-cbrt_binary64`
53×	`associate-/r*_binary64`
51×	`unpow-prod-down_binary64`
39×	`add-exp-log_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
23×	`add-cbrt-cube_binary64`
19×	`div-exp_binary64`
17×	`unpow2_binary64` `sqr-pow_binary64`
9×	`cbrt-undiv_binary64` `associate-/l*_binary64`
5×	`pow1_binary64` `prod-exp_binary64` `div-inv_binary64`
4×	`pow-to-exp_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
1×	`pow-pow_binary64` `associate-/r/_binary64` `div-sub_binary64`

Counts

4 → 223

Calls

4 calls:

17.0ms	(/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2)))
8.0ms	(/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2))
5.0ms	(/.f64 2.0 (*.f64 r r))
2.0ms	(pow.f64 (fabs.f64 (*.f64 w r)) 2)

series64.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2)))
23.0ms	(/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2))
5.0ms	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
4.0ms	(/.f64 2.0 (*.f64 r r))

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5598	3956

prune527.0ms (10.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	231	4	235
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	237	10	247

Merged error: 0.0b

Counts

247 → 10

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2))) (sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (*.f64 w r)) 2))))
0.4b	(/.f64 2.0 (*.f64 r r))
10.7b	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))
10.7b	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64` `sqrt-pow1_binary64`
7×	`associate-*l/_binary64`
6×	`sqrt-prod_binary64` `sqrt-div_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64` `associate-/l*_binary64` `times-frac_binary64` `pow-sqr_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`associate-/r_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `frac-times_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

25.0ms	(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2))) (sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (*.f64 w r)) 2))))
10.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))
9.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))
5.0ms	(/.f64 2.0 (*.f64 r r))

series141.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2))) (sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (*.f64 w r)) 2))))
44.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))
42.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))
4.0ms	(/.f64 2.0 (*.f64 r r))

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5057	1629

prune214.0ms (4.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	96	10	106

Merged error: 0.0b

Counts

106 → 10

regimes333.0ms (6.6%)

Accuracy

Total 0.3b remaining (71.1%)

Threshold costs 0.3b (71.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	49
1	82	49

end0.0ms (0%)

sample1.2s (23.3%)

Algorithm

1×

intervals

Results

552.0ms	8000×	body	80	valid
334.0ms	4773×	body	80	invalid

Details

analyze932.0ms (18.4%)

sample45.0ms (0.9%)

simplify484.0ms (9.5%)

prune9.0ms (0.2%)

localize19.0ms (0.4%)

rewrite72.0ms (1.4%)

series85.0ms (1.7%)

simplify40.0ms (0.8%)

prune251.0ms (4.9%)

localize20.0ms (0.4%)

rewrite38.0ms (0.7%)

series66.0ms (1.3%)

simplify34.0ms (0.7%)

prune259.0ms (5.1%)

localize18.0ms (0.4%)

rewrite46.0ms (0.9%)

series64.0ms (1.3%)

simplify67.0ms (1.3%)

prune527.0ms (10.4%)

localize21.0ms (0.4%)

rewrite51.0ms (1%)

series141.0ms (2.8%)

simplify49.0ms (1%)

prune214.0ms (4.2%)

regimes333.0ms (6.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (23.3%)

Profiling