Details

analyze422.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify278.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (272.0ms)

Iter	Nodes	Cost
0	5830	21

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite169.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_25675`
12×	`*-un-lft-identity_binary64_25653`
10×	`add-exp-log_binary64_25691` `add-cbrt-cube_binary64_25689`
9×	`add-cube-cbrt_binary64_25688`
8×	`add-log-exp_binary64_25692`
7×	`associate-r_binary64_25593`
6×	`cancel-sign-sub-inv_binary64_25619`
5×	`pow1_binary64_25714`
4×	`associate-*r/_binary64_25595` `distribute-rgt-in_binary64_25603` `distribute-lft-in_binary64_25602`
3×	`times-frac_binary64_25659` `associate-/r_binary64_25597` `associate-l*_binary64_25594` `sum-log_binary64_25744`
2×	`prod-exp_binary64_25702` `div-exp_binary64_25704` `cbrt-undiv_binary64_25687` `cbrt-unprod_binary64_25686` `flip3--_binary64_25657` `associate-/l/_binary64_25600` `flip--_binary64_25628` `flip3-+_binary64_25656` `associate-/r/_binary64_25599` `flip-+_binary64_25627` `sub-neg_binary64_25646` `difference-of-squares_binary64_25622`
1×	`frac-2neg_binary64_25664` `clear-num_binary64_25652` `div-inv_binary64_25650` `associate-/l_binary64_25598` `pow-prod-down_binary64_25724` `unswap-sqr_binary64_25621` `difference-of-sqr-1_binary64_25623` `distribute-lft-out--_binary64_25605` `-commutative_binary64_25584` `associate-+l+_binary64_25586` `+-commutative_binary64_25583`

Counts

3 → 70

Calls

3 calls:

12.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
7.0ms	(*.f64 6 (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1532 to 1141 computations (25.5% saved)

series103.0ms (2.3%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

50.0ms	(*.f64 6 (-.f64 x 1))
27.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
17.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 272 to 237 computations (12.9% saved)

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5173	1147

prune117.0ms (2.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 1206 to 895 computations (25.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite236.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`add-sqr-sqrt_binary64_25675`
48×	`*-un-lft-identity_binary64_25653`
43×	`times-frac_binary64_25659`
27×	`add-cube-cbrt_binary64_25688` `associate-r_binary64_25593`
14×	`difference-of-squares_binary64_25622`
10×	`add-exp-log_binary64_25691` `add-cbrt-cube_binary64_25689`
8×	`add-log-exp_binary64_25692`
7×	`difference-of-sqr-1_binary64_25623` `distribute-lft-out--_binary64_25605` `associate-/l*_binary64_25598`
5×	`pow1_binary64_25714`
4×	`associate-/r/_binary64_25599`
3×	`flip3-+_binary64_25656` `flip-+_binary64_25627` `associate-/r_binary64_25597` `associate-l*_binary64_25594` `sum-log_binary64_25744`
2×	`div-exp_binary64_25704` `cbrt-undiv_binary64_25687` `div-inv_binary64_25650` `associate-/l/_binary64_25600` `prod-exp_binary64_25702` `cbrt-unprod_binary64_25686` `unswap-sqr_binary64_25621`
1×	`frac-2neg_binary64_25664` `div-sub_binary64_25658` `clear-num_binary64_25652` `flip3--_binary64_25657` `flip--_binary64_25628` `pow-prod-down_binary64_25724` `associate-r/_binary64_25595` `-commutative_binary64_25584` `associate-+l+_binary64_25586` `+-commutative_binary64_25583`

Counts

3 → 107

Calls

3 calls:

17.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2481 to 1808 computations (27.1% saved)

series79.0ms (1.8%)

Error

Counts

3 → 9

Calls

3 calls:

26.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
26.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
17.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 176 to 168 computations (4.5% saved)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5682	2799

prune180.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Error

Counts

119 → 3

Compiler

Compiled 2104 to 1541 computations (26.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.1b	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.3b	(*.f64 (-.f64 x 1) (sqrt.f64 6))
0.7b	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))

rewrite189.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-exp-log_binary64_25691` `add-cbrt-cube_binary64_25689`
19×	`add-sqr-sqrt_binary64_25675`
14×	`*-un-lft-identity_binary64_25653`
13×	`associate-l_binary64_25594`
11×	`pow1_binary64_25714` `add-cube-cbrt_binary64_25688`
9×	`add-log-exp_binary64_25692`
7×	`prod-exp_binary64_25702` `cbrt-unprod_binary64_25686` `sqrt-prod_binary64_25669` `associate-r_binary64_25593`
6×	`associate-*l/_binary64_25596`
4×	`pow-prod-down_binary64_25724` `associate-*r/_binary64_25595`
3×	`flip3--_binary64_25657` `flip--_binary64_25628` `div-exp_binary64_25704` `cbrt-undiv_binary64_25687` `times-frac_binary64_25659` `associate-/r*_binary64_25597` `sum-log_binary64_25744`
2×	`*-commutative_binary64_25584` `unswap-sqr_binary64_25621` `difference-of-squares_binary64_25622` `associate-/l/_binary64_25600` `flip3-+_binary64_25656` `associate-/r/_binary64_25599` `flip-+_binary64_25627`
1×	`difference-of-sqr-1_binary64_25623` `distribute-lft-out--_binary64_25605` `frac-2neg_binary64_25664` `clear-num_binary64_25652` `div-inv_binary64_25650` `associate-/l*_binary64_25598` `associate-+l+_binary64_25586` `+-commutative_binary64_25583`

Counts

4 → 91

Calls

4 calls:

15.0ms	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
10.0ms	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))
9.0ms	(*.f64 (-.f64 x 1) (sqrt.f64 6))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2280 to 1805 computations (20.8% saved)

series289.0ms (6.5%)

Error

Counts

4 → 18

Calls

4 calls:

117.0ms	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))
74.0ms	(*.f64 (-.f64 x 1) (sqrt.f64 6))
67.0ms	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
19.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 632 to 569 computations (10% saved)

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4955	1558
1	4955	1558

prune126.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Error

Counts

112 → 3

Compiler

Compiled 1754 to 1358 computations (22.6% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -6 (*.f64 6 x))
0.1b	(/.f64 (cbrt.f64 (pow.f64 (+.f64 -6 (.f64 6 x)) 3)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
0.2b	(pow.f64 (+.f64 -6 (*.f64 6 x)) 3)
22.7b	(cbrt.f64 (pow.f64 (+.f64 -6 (*.f64 6 x)) 3))

rewrite277.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`cbrt-prod_binary64_25684`
45×	`times-frac_binary64_25659`
42×	`add-cube-cbrt_binary64_25688` `add-sqr-sqrt_binary64_25675` `*-un-lft-identity_binary64_25653`
18×	`unpow-prod-down_binary64_25732` `cube-prod_binary64_25681`
15×	`associate-/l*_binary64_25598`
7×	`add-exp-log_binary64_25691`
6×	`add-log-exp_binary64_25692` `add-cbrt-cube_binary64_25689` `cube-div_binary64_25682` `unpow3_binary64_25719` `cube-mult_binary64_25683` `sqr-pow_binary64_25625`
5×	`pow1_binary64_25714` `flip3-+_binary64_25656` `flip-+_binary64_25627`
4×	`cbrt-div_binary64_25685`
3×	`pow-unpow_binary64_25730` `associate-/r*_binary64_25597`
2×	`associate-/l/_binary64_25600` `associate-/r/_binary64_25599`
1×	`pow1/3_binary64_25735` `rem-cbrt-cube_binary64_25677` `pow-pow_binary64_25725` `pow-to-exp_binary64_25722` `pow-exp_binary64_25721` `rem-cube-cbrt_binary64_25676` `div-exp_binary64_25704` `cbrt-undiv_binary64_25687` `frac-2neg_binary64_25664` `clear-num_binary64_25652` `div-inv_binary64_25650` `sum-log_binary64_25744` `+-commutative_binary64_25583`

Counts

4 → 138

Calls

4 calls:

13.0ms	(/.f64 (cbrt.f64 (pow.f64 (+.f64 -6 (.f64 6 x)) 3)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
4.0ms	(pow.f64 (+.f64 -6 (*.f64 6 x)) 3)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 -6 (*.f64 6 x)) 3))
3.0ms	(+.f64 -6 (*.f64 6 x))

Compiler

Compiled 3595 to 2871 computations (20.1% saved)

series223.0ms (5%)

Error

Counts

4 → 27

Calls

4 calls:

67.0ms	(cbrt.f64 (pow.f64 (+.f64 -6 (*.f64 6 x)) 3))
53.0ms	(pow.f64 (+.f64 -6 (*.f64 6 x)) 3)
47.0ms	(+.f64 -6 (*.f64 6 x))
30.0ms	(/.f64 (cbrt.f64 (pow.f64 (+.f64 -6 (.f64 6 x)) 3)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

Compiler

Compiled 835 to 704 computations (15.7% saved)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5050	4015

prune182.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	165	3	168

Error

Counts

168 → 3

Compiler

Compiled 2323 to 1790 computations (22.9% saved)

regimes584.0ms (13.1%)

Accuracy

Total 0.0b remaining (55.6%)

Threshold costs 0.0b (55.6%)

Compiler

Compiled 5944 to 5098 computations (14.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	21
1	22	21

end1.0ms (0%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

sample665.0ms (14.9%)

Algorithm

1×

intervals

Results

342.0ms	8000×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 95 to 87 computations (8.4% saved)

Details

analyze422.0ms (9.5%)

sample18.0ms (0.4%)

simplify278.0ms (6.2%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite169.0ms (3.8%)

series103.0ms (2.3%)

simplify58.0ms (1.3%)

prune117.0ms (2.6%)

localize9.0ms (0.2%)

rewrite236.0ms (5.3%)

series79.0ms (1.8%)

simplify82.0ms (1.9%)

prune180.0ms (4%)

localize11.0ms (0.2%)

rewrite189.0ms (4.3%)

series289.0ms (6.5%)

simplify61.0ms (1.4%)

prune126.0ms (2.8%)

localize16.0ms (0.4%)

rewrite277.0ms (6.2%)

series223.0ms (5%)

simplify69.0ms (1.5%)

prune182.0ms (4.1%)

regimes584.0ms (13.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample665.0ms (14.9%)

Profiling