Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	232×	body	128	valid
1.0ms	13×	body	1024	valid
0.0ms	6×	body	512	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify122.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10

prune4.0ms (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

0.2b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 6 (.f64 x -9)))
0.0b	(+.f64 6 (*.f64 x -9))
0.0b	(+.f64 6 (*.f64 x -9))
0.1b	(.f64 x (+.f64 6 (.f64 x -9)))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_19537`
4×	`add-cube-cbrt_binary64_19550` `pow1_binary64_19576` `add-log-exp_binary64_19554` `add-cbrt-cube_binary64_19551` `*-un-lft-identity_binary64_19515` `add-exp-log_binary64_19553`
3×	`associate-l_binary64_19456` `associate-r_binary64_19455`
2×	`associate-*r/_binary64_19457` `flip-+_binary64_19489` `flip3-+_binary64_19518`
1×	`distribute-rgt-in_binary64_19465` `cbrt-unprod_binary64_19548` `*-commutative_binary64_19446` `prod-exp_binary64_19564` `pow-prod-down_binary64_19586` `distribute-lft-in_binary64_19464` `unswap-sqr_binary64_19483` `+-commutative_binary64_19445` `sum-log_binary64_19606`

Counts

2 → 33

Calls

4 calls:

7.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
3.0ms	(+.f64 6 (*.f64 x -9))
0.0ms	(+.f64 6 (*.f64 x -9))
0.0ms	(.f64 x (+.f64 6 (.f64 x -9)))

series79.0ms (2.6%)

Counts

2 → 12

Calls

2 calls:

52.0ms	(.f64 x (+.f64 6 (.f64 x -9)))
27.0ms	(+.f64 6 (*.f64 x -9))

Compiler

Compiled 122 to 108 computations (11.5% saved)

simplify65.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5235	482

prune53.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	37	8	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	38	9	47

Error

0.0b

Counts

47 → 9

Compiler

Compiled 624 to 475 computations (23.9% saved)

localize10.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 x (.f64 x 81))
0.1b	(.f64 x (/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (-.f64 6 (.f64 x -9))))
0.0b	(-.f64 36 (.f64 x (.f64 x 81)))
0.0b	(-.f64 6 (*.f64 x -9))
0.0b	(-.f64 36 (.f64 x (.f64 x 81)))
0.1b	(.f64 x (/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (-.f64 6 (.f64 x -9))))
0.2b	(.f64 x (.f64 x 81))
0.2b	(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (-.f64 6 (*.f64 x -9)))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_19537`
21×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
19×	`times-frac_binary64_19521`
16×	`add-cbrt-cube_binary64_19551` `associate-r_binary64_19455` `add-exp-log_binary64_19553`
11×	`pow1_binary64_19576`
6×	`associate-l_binary64_19456` `add-log-exp_binary64_19554`
5×	`cbrt-unprod_binary64_19548` `prod-exp_binary64_19564`
4×	`flip3--_binary64_19519` `associate-/r/_binary64_19461` `flip--_binary64_19490` `pow-prod-down_binary64_19586`
3×	`associate-/r_binary64_19459` `associate-/l_binary64_19460`
2×	`associate-/l/_binary64_19462` `div-inv_binary64_19512` `div-exp_binary64_19566` `*-commutative_binary64_19446` `cbrt-undiv_binary64_19549` `unswap-sqr_binary64_19483`
1×	`associate-*r/_binary64_19457` `cancel-sign-sub-inv_binary64_19481` `diff-log_binary64_19607` `clear-num_binary64_19514` `sub-neg_binary64_19508` `div-sub_binary64_19520` `frac-2neg_binary64_19526`

Counts

4 → 96

Calls

8 calls:

10.0ms	(.f64 x (/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (-.f64 6 (.f64 x -9))))
7.0ms	(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (-.f64 6 (*.f64 x -9)))
5.0ms	(.f64 x (.f64 x 81))
3.0ms	(-.f64 36 (.f64 x (.f64 x 81)))
0.0ms	(-.f64 6 (*.f64 x -9))

series231.0ms (7.7%)

Counts

4 → 21

Calls

4 calls:

95.0ms	(.f64 x (/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (-.f64 6 (.f64 x -9))))
68.0ms	(/.f64 (-.f64 36 (.f64 x (.f64 x 81))) (-.f64 6 (*.f64 x -9)))
43.0ms	(-.f64 36 (.f64 x (.f64 x 81)))
24.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 337 to 294 computations (12.8% saved)

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4872	2199
1	4872	2199

prune141.0ms (4.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	118	8	126

Error

Counts

126 → 8

Compiler

Compiled 2549 to 1947 computations (23.6% saved)

localize9.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.3b	(.f64 (+.f64 6 (.f64 x -9)) (cbrt.f64 x))
0.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (+.f64 6 (.f64 x -9)) (cbrt.f64 x)))
0.0b	(+.f64 6 (*.f64 x -9))
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_19546`
23×	`add-sqr-sqrt_binary64_19537`
15×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
11×	`pow1_binary64_19576`
9×	`pow1/3_binary64_19597`
6×	`associate-l_binary64_19456` `swap-sqr_binary64_19482` `associate-r_binary64_19455` `add-exp-log_binary64_19553`
4×	`add-log-exp_binary64_19554` `add-cbrt-cube_binary64_19551` `unswap-sqr_binary64_19483`
2×	`pow-sqr_binary64_19488` `pow-prod-up_binary64_19585` `pow-prod-down_binary64_19586`
1×	`cbrt-unprod_binary64_19548` `pow-plus_binary64_19578` `*-commutative_binary64_19446` `prod-exp_binary64_19564` `pow2_binary64_19596`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(+.f64 6 (*.f64 x -9))

series315.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
80.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)
73.0ms	(cbrt.f64 x)

Compiler

Compiled 394 to 310 computations (21.3% saved)

simplify79.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune75.0ms (2.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Error

Counts

93 → 8

Compiler

Compiled 1506 to 809 computations (46.3% saved)

localize11.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 x (.f64 x 81))
0.1b	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
0.0b	(-.f64 36 (.f64 x (.f64 x 81)))
0.0b	(-.f64 6 (*.f64 x -9))
0.0b	(-.f64 36 (.f64 x (.f64 x 81)))
0.1b	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
0.2b	(.f64 x (.f64 x 81))
6.6b	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
11×	`add-sqr-sqrt_binary64_19537` `pow1_binary64_19576`
9×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
6×	`associate-l_binary64_19456` `add-log-exp_binary64_19554`
5×	`cbrt-unprod_binary64_19548` `prod-exp_binary64_19564`
4×	`associate-r/_binary64_19457` `flip3--_binary64_19519` `flip--_binary64_19490` `pow-prod-down_binary64_19586` `associate-r*_binary64_19455`
3×	`cancel-sign-sub-inv_binary64_19481` `times-frac_binary64_19521` `associate-/r*_binary64_19459` `sub-neg_binary64_19508`
2×	`distribute-rgt-in_binary64_19465` `associate-/l/_binary64_19462` `associate-/r/_binary64_19461` `div-exp_binary64_19566` `*-commutative_binary64_19446` `cbrt-undiv_binary64_19549` `distribute-lft-in_binary64_19464`
1×	`diff-log_binary64_19607` `div-inv_binary64_19512` `clear-num_binary64_19514` `associate-/l*_binary64_19460` `unswap-sqr_binary64_19483` `frac-2neg_binary64_19526`

Counts

4 → 79

Calls

8 calls:

9.0ms	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))
6.0ms	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
5.0ms	(.f64 x (.f64 x 81))
3.0ms	(-.f64 36 (.f64 x (.f64 x 81)))
0.0ms	(-.f64 6 (*.f64 x -9))

series241.0ms (8%)

Counts

4 → 21

Calls

4 calls:

98.0ms	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))
74.0ms	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
46.0ms	(-.f64 36 (.f64 x (.f64 x 81)))
23.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 403 to 353 computations (12.4% saved)

simplify82.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4885	1410
1	4885	1410

prune105.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	3	4
Picked	0	1	1
Done	2	1	3
Total	102	6	108

Error

Counts

108 → 6

Compiler

Compiled 1819 to 1382 computations (24% saved)

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	392	915
1	392	915

regimes66.0ms (2.2%)

Compiler: Compiled 616 to 506 computations (17.9% saved)

bsearch0.0ms (0%)

regimes23.0ms (0.8%)

Compiler: Compiled 13 to 15 computations (-15.4% saved)

bsearch15.0ms (0.5%)

Steps

Iters	Range		Point
4	0.46041642693548235	0.694616828524831	0.668949580901031
8	-34.482342047437854	-0.12208613939130855	-0.6588229518975612

Compiler

Compiled 1 to 1 computations (0% saved)

regimes8.0ms (0.3%)

Compiler: Compiled 8 to 11 computations (-37.5% saved)

bsearch0.0ms (0%)

regimes8.0ms (0.3%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.3%)

Accuracy

Total 0.2b remaining (99.5%)

Threshold costs 0.2b (99.5%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 34 to 30 computations (11.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	42
1	27	42

end0.0ms (0%)

sample1.0s (34.3%)

Algorithm

1×

intervals

Results

167.0ms	7195×	body	128	valid
38.0ms	474×	body	1024	valid
15.0ms	201×	body	512	valid
5.0ms	130×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 663 to 549 computations (17.2% saved)

Pareto

0.539398039432536

Details

analyze7.0ms (0.2%)

sample14.0ms (0.5%)

simplify122.0ms (4.1%)

prune4.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.4%)

series79.0ms (2.6%)

simplify65.0ms (2.2%)

prune53.0ms (1.8%)

localize10.0ms (0.3%)

rewrite36.0ms (1.2%)

series231.0ms (7.7%)

simplify85.0ms (2.8%)

prune141.0ms (4.7%)

localize9.0ms (0.3%)

rewrite15.0ms (0.5%)

series315.0ms (10.5%)

simplify79.0ms (2.6%)

prune75.0ms (2.5%)

localize11.0ms (0.4%)

rewrite29.0ms (1%)

series241.0ms (8%)

simplify82.0ms (2.7%)

prune105.0ms (3.5%)

simplify17.0ms (0.6%)

regimes66.0ms (2.2%)

bsearch0.0ms (0%)

regimes23.0ms (0.8%)

bsearch15.0ms (0.5%)

regimes8.0ms (0.3%)

bsearch0.0ms (0%)

regimes8.0ms (0.3%)

bsearch0.0ms (0%)

regimes9.0ms (0.3%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (34.3%)

Profiling