Details

analyze741.0ms (8.9%)

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)

sample32.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify560.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (549.0ms)

Iter	Nodes	Cost
0	5830	21

prune5.0ms (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)

localize18.0ms (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))))

rewrite243.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_21583`
12×	`*-un-lft-identity_binary64_21561`
10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
9×	`add-cube-cbrt_binary64_21596`
8×	`add-log-exp_binary64_21600`
7×	`associate-r_binary64_21501`
6×	`cancel-sign-sub-inv_binary64_21527`
5×	`pow1_binary64_21622`
4×	`associate-*r/_binary64_21503` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510`
3×	`times-frac_binary64_21567` `associate-/r_binary64_21505` `associate-l*_binary64_21502` `sum-log_binary64_21652`
2×	`prod-exp_binary64_21610` `div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `cbrt-unprod_binary64_21594` `flip3--_binary64_21565` `associate-/l/_binary64_21508` `flip--_binary64_21536` `flip3-+_binary64_21564` `associate-/r/_binary64_21507` `flip-+_binary64_21535` `sub-neg_binary64_21554` `difference-of-squares_binary64_21530`
1×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `div-inv_binary64_21558` `associate-/l_binary64_21506` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529` `difference-of-sqr-1_binary64_21531` `distribute-lft-out--_binary64_21513` `-commutative_binary64_21492` `associate-+l+_binary64_21494` `+-commutative_binary64_21491`

Counts

3 → 70

Calls

3 calls:

29.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
15.0ms	(*.f64 6 (-.f64 x 1))
11.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1600 to 1190 computations (25.6% saved)

series139.0ms (1.7%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

63.0ms	(*.f64 6 (-.f64 x 1))
33.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
25.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 320 to 271 computations (15.3% saved)

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5173	1147

prune184.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Error

Counts

83 → 5

Compiler

Compiled 1600 to 1183 computations (26.1% saved)

localize19.0ms (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)))))
0.0b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite362.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`add-sqr-sqrt_binary64_21583`
48×	`*-un-lft-identity_binary64_21561`
43×	`times-frac_binary64_21567`
27×	`add-cube-cbrt_binary64_21596` `associate-r_binary64_21501`
14×	`difference-of-squares_binary64_21530`
10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
8×	`add-log-exp_binary64_21600`
7×	`difference-of-sqr-1_binary64_21531` `distribute-lft-out--_binary64_21513` `associate-/l*_binary64_21506`
5×	`pow1_binary64_21622`
4×	`associate-/r/_binary64_21507`
3×	`flip3-+_binary64_21564` `flip-+_binary64_21535` `associate-/r_binary64_21505` `associate-l*_binary64_21502` `sum-log_binary64_21652`
2×	`div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `div-inv_binary64_21558` `associate-/l/_binary64_21508` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `unswap-sqr_binary64_21529`
1×	`frac-2neg_binary64_21572` `div-sub_binary64_21566` `clear-num_binary64_21560` `flip3--_binary64_21565` `flip--_binary64_21536` `pow-prod-down_binary64_21632` `associate-r/_binary64_21503` `-commutative_binary64_21492` `associate-+l+_binary64_21494` `+-commutative_binary64_21491`

Counts

3 → 107

Calls

3 calls:

34.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
22.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
12.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2917 to 2119 computations (27.4% saved)

series96.0ms (1.2%)

Error

Counts

3 → 9

Calls

3 calls:

34.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
33.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
21.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 187 to 177 computations (5.3% saved)

simplify159.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5682	2799

prune268.0ms (3.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Error

Counts

121 → 4

Compiler

Compiled 2797 to 2036 computations (27.2% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite649.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

186×	`times-frac_binary64_21567`
151×	`add-sqr-sqrt_binary64_21583`
135×	`*-un-lft-identity_binary64_21561`
87×	`add-cube-cbrt_binary64_21596`
34×	`associate-/r*_binary64_21505`
32×	`difference-of-squares_binary64_21530`
16×	`difference-of-sqr-1_binary64_21531` `distribute-lft-out--_binary64_21513`
11×	`associate-/r/_binary64_21507`
10×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
8×	`add-log-exp_binary64_21600`
6×	`div-inv_binary64_21558` `associate-/l*_binary64_21506`
5×	`flip3--_binary64_21565` `flip--_binary64_21536`
4×	`div-exp_binary64_21612` `cbrt-undiv_binary64_21595`
3×	`pow1_binary64_21622` `sum-log_binary64_21652`
2×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `flip3-+_binary64_21564` `associate-/l/_binary64_21508` `flip-+_binary64_21535`
1×	`associate-+l+_binary64_21494` `+-commutative_binary64_21491`

Counts

3 → 186

Calls

3 calls:

25.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
21.0ms	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
11.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 5603 to 4154 computations (25.9% saved)

series97.0ms (1.2%)

Error

Counts

3 → 9

Calls

3 calls:

35.0ms	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
32.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
23.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 188 to 178 computations (5.3% saved)

simplify214.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4971	6683
1	4971	6683

prune536.0ms (6.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	195	4	199

Error

Counts

199 → 4

Compiler

Compiled 5297 to 3885 computations (26.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite233.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_21561`
16×	`add-sqr-sqrt_binary64_21583`
11×	`add-exp-log_binary64_21599` `add-log-exp_binary64_21600` `add-cbrt-cube_binary64_21597`
10×	`add-cube-cbrt_binary64_21596`
7×	`associate-r_binary64_21501`
6×	`pow1_binary64_21622` `cancel-sign-sub-inv_binary64_21527`
4×	`times-frac_binary64_21567` `associate-r/_binary64_21503` `associate-/r_binary64_21505` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510` `sum-log_binary64_21652`
3×	`distribute-lft-out_binary64_21512` `flip3-+_binary64_21564` `flip-+_binary64_21535` `associate-l_binary64_21502`
2×	`prod-exp_binary64_21610` `div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `cbrt-unprod_binary64_21594` `flip3--_binary64_21565` `associate-/l/_binary64_21508` `flip--_binary64_21536` `associate-/r/_binary64_21507` `sub-neg_binary64_21554` `difference-of-squares_binary64_21530` `+-commutative_binary64_21491`
1×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `div-inv_binary64_21558` `associate-/l_binary64_21506` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529` `difference-of-sqr-1_binary64_21531` `distribute-lft-out--_binary64_21513` `-commutative_binary64_21492` `associate-+r+_binary64_21493`

Counts

4 → 84

Calls

4 calls:

23.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 x (+.f64 1 (.f64 4 (sqrt.f64 x)))))
13.0ms	(*.f64 6 (-.f64 x 1))
10.0ms	(+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))
5.0ms	(+.f64 1 (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1893 to 1402 computations (25.9% saved)

series162.0ms (1.9%)

Error

Counts

4 → 15

Calls

4 calls:

64.0ms	(*.f64 6 (-.f64 x 1))
32.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 x (+.f64 1 (.f64 4 (sqrt.f64 x)))))
26.0ms	(+.f64 1 (*.f64 4 (sqrt.f64 x)))
21.0ms	(+.f64 x (+.f64 1 (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 447 to 380 computations (15% saved)

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5260	1367

prune181.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Error

Counts

103 → 4

Compiler

Compiled 1788 to 1309 computations (26.8% saved)

regimes347.0ms (4.2%)

Accuracy

Total 0.0b remaining (99.4%)

Threshold costs 0.0b (99.4%)

Compiler

Compiled 2135 to 1765 computations (17.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	21
1	26	21

end0.0ms (0%)

sample2.8s (34%)

Algorithm

1×

intervals

Results

626.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 1004 to 832 computations (17.1% saved)

Details

analyze741.0ms (8.9%)

sample32.0ms (0.4%)

simplify560.0ms (6.7%)

prune5.0ms (0.1%)

localize18.0ms (0.2%)

rewrite243.0ms (2.9%)

series139.0ms (1.7%)

simplify108.0ms (1.3%)

prune184.0ms (2.2%)

localize19.0ms (0.2%)

rewrite362.0ms (4.3%)

series96.0ms (1.2%)

simplify159.0ms (1.9%)

prune268.0ms (3.2%)

localize20.0ms (0.2%)

rewrite649.0ms (7.8%)

series97.0ms (1.2%)

simplify214.0ms (2.6%)

prune536.0ms (6.4%)

localize18.0ms (0.2%)

rewrite233.0ms (2.8%)

series162.0ms (1.9%)

simplify108.0ms (1.3%)

prune181.0ms (2.2%)

regimes347.0ms (4.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.8s (34%)

Profiling