Details

analyze239.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	13
1	617	13
0	1	1
1	1	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 14 to 12 computations (14.3% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	617	13
1	617	13

prune7.0ms (0.2%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
0.0b	(+.f64 12 (*.f64 x -9))
0.1b	(.f64 x (+.f64 12 (.f64 x -9)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_15121` `add-sqr-sqrt_binary64_15104`
5×	`add-cube-cbrt_binary64_15117` `add-cbrt-cube_binary64_15118` `*-un-lft-identity_binary64_15082` `pow1_binary64_15143` `add-exp-log_binary64_15120`
3×	`associate-l_binary64_15023` `associate-r_binary64_15022`
2×	`distribute-rgt-in_binary64_15032` `flip-+_binary64_15056` `distribute-lft-in_binary64_15031` `associate--r+_binary64_15018` `associate-*r/_binary64_15024` `flip3-+_binary64_15085`
1×	`pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `sum-log_binary64_15173` `prod-exp_binary64_15131` `cancel-sign-sub-inv_binary64_15048` `flip3--_binary64_15086` `cbrt-unprod_binary64_15115` `sub-neg_binary64_15075` `+-commutative_binary64_15012` `*-commutative_binary64_15013` `diff-log_binary64_15174` `flip--_binary64_15057`

Counts

3 → 47

Calls

3 calls:

10.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
5.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
5.0ms	(+.f64 12 (*.f64 x -9))

series272.0ms (6.1%)

Counts

3 → 21

Calls

3 calls:

130.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
93.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
48.0ms	(+.f64 12 (*.f64 x -9))

Compiler

Compiled 258 to 237 computations (8.1% saved)

simplify107.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5215	817

prune120.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Error

Counts

70 → 4

Compiler

Compiled 904 to 713 computations (21.1% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 3 (*.f64 x 12))
0.2b	(.f64 (.f64 x -9) x)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_15118` `pow1_binary64_15143` `add-exp-log_binary64_15120`
4×	`add-log-exp_binary64_15121`
3×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `add-cube-cbrt_binary64_15117` `cbrt-unprod_binary64_15115` `-un-lft-identity_binary64_15082` `add-sqr-sqrt_binary64_15104` `associate-r*_binary64_15022`
1×	`cancel-sign-sub-inv_binary64_15048` `flip3--_binary64_15086` `sub-neg_binary64_15075` `associate-l_binary64_15023` `*-commutative_binary64_15013` `diff-log_binary64_15174` `flip--_binary64_15057`

Counts

2 → 30

Calls

2 calls:

9.0ms	(.f64 (.f64 x -9) x)
5.0ms	(-.f64 3 (*.f64 x 12))

series102.0ms (2.3%)

Counts

2 → 9

Calls

2 calls:

59.0ms	(-.f64 3 (*.f64 x 12))
43.0ms	(.f64 (.f64 x -9) x)

Compiler

Compiled 157 to 134 computations (14.6% saved)

simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4817	330
1	4817	330

prune56.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Error

Counts

43 → 4

Compiler

Compiled 575 to 437 computations (24% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 12 (*.f64 x -9)))))
0.7b	(cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9))))
0.7b	(cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9))))
0.7b	(cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9))))

rewrite53.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_15024`
18×	`cbrt-div_binary64_15114`
11×	`pow1_binary64_15143`
10×	`add-sqr-sqrt_binary64_15104`
9×	`pow1/3_binary64_15164` `flip-+_binary64_15056` `flip3-+_binary64_15085`
8×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
7×	`cbrt-prod_binary64_15113`
6×	`add-exp-log_binary64_15120`
4×	`frac-times_binary64_15092` `add-cbrt-cube_binary64_15118` `add-log-exp_binary64_15121` `associate-l_binary64_15023` `swap-sqr_binary64_15049` `associate-r_binary64_15022`
2×	`pow-prod-down_binary64_15153` `pow-prod-up_binary64_15152` `pow-sqr_binary64_15055` `associate-*l/_binary64_15025`
1×	`unswap-sqr_binary64_15050` `prod-exp_binary64_15131` `pow2_binary64_15163` `cbrt-unprod_binary64_15115` `*-commutative_binary64_15013` `pow-plus_binary64_15145`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 12 (*.f64 x -9)))))
10.0ms	(cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9))))
7.0ms	(cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9))))
7.0ms	(cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9))))

series642.0ms (14.4%)

Counts

4 → 31

Calls

4 calls:

207.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9)))) (cbrt.f64 (.f64 x (+.f64 12 (*.f64 x -9)))))
150.0ms	(cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9))))
144.0ms	(cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9))))
140.0ms	(cbrt.f64 (.f64 x (+.f64 12 (.f64 x -9))))

Compiler

Compiled 1976 to 1744 computations (11.7% saved)

simplify159.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4903	2349
1	4903	2349

prune325.0ms (7.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Error

Counts

107 → 4

Compiler

Compiled 3530 to 2873 computations (18.6% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 12 (*.f64 x -9))
0.2b	(.f64 (sqrt.f64 x) (.f64 (+.f64 12 (*.f64 x -9)) (sqrt.f64 x)))
0.2b	(.f64 (+.f64 12 (.f64 x -9)) (sqrt.f64 x))

rewrite48.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_15104`
10×	`add-cbrt-cube_binary64_15118` `pow1_binary64_15143` `add-exp-log_binary64_15120`
9×	`associate-l_binary64_15023`
8×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
7×	`sqrt-prod_binary64_15098` `associate-r_binary64_15022`
5×	`add-log-exp_binary64_15121`
4×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `associate-*l/_binary64_15025`
3×	`flip-+_binary64_15056` `flip3-+_binary64_15085`
2×	`unswap-sqr_binary64_15050` `-commutative_binary64_15013` `associate-r/_binary64_15024`
1×	`sum-log_binary64_15173` `+-commutative_binary64_15012`

Counts

3 → 58

Calls

3 calls:

18.0ms	(.f64 (sqrt.f64 x) (.f64 (+.f64 12 (*.f64 x -9)) (sqrt.f64 x)))
16.0ms	(.f64 (+.f64 12 (.f64 x -9)) (sqrt.f64 x))
6.0ms	(+.f64 12 (*.f64 x -9))

series164.0ms (3.7%)

Counts

3 → 14

Calls

3 calls:

65.0ms	(.f64 (sqrt.f64 x) (.f64 (+.f64 12 (*.f64 x -9)) (sqrt.f64 x)))
57.0ms	(+.f64 12 (*.f64 x -9))
41.0ms	(.f64 (+.f64 12 (.f64 x -9)) (sqrt.f64 x))

Compiler

Compiled 293 to 247 computations (15.7% saved)

simplify100.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4958	890
1	4958	890

prune108.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	72	4	76

Error

Counts

76 → 4

Compiler

Compiled 1156 to 783 computations (32.3% saved)

regimes281.0ms (6.3%)

Accuracy

Total 0.1b remaining (97.2%)

Threshold costs 0.1b (97.2%)

Compiler

Compiled 1180 to 993 computations (15.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	16
1	67	16

end0.0ms (0%)

sample1.3s (30.2%)

Algorithm

1×

intervals

Results

518.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 287 to 242 computations (15.7% saved)

Details

analyze239.0ms (5.4%)

sample24.0ms (0.6%)

simplify83.0ms (1.9%)

prune7.0ms (0.2%)

localize11.0ms (0.3%)

rewrite25.0ms (0.6%)

series272.0ms (6.1%)

simplify107.0ms (2.4%)

prune120.0ms (2.7%)

localize13.0ms (0.3%)

rewrite18.0ms (0.4%)

series102.0ms (2.3%)

simplify102.0ms (2.3%)

prune56.0ms (1.3%)

localize20.0ms (0.4%)

rewrite53.0ms (1.2%)

series642.0ms (14.4%)

simplify159.0ms (3.6%)

prune325.0ms (7.3%)

localize15.0ms (0.3%)

rewrite48.0ms (1.1%)

series164.0ms (3.7%)

simplify100.0ms (2.3%)

prune108.0ms (2.4%)

regimes281.0ms (6.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.3s (30.2%)

Profiling