Details

analyze133.0ms (3.1%)

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)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	617	13
1	617	13

prune8.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite69.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 47

Calls

3 calls:

6.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
3.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
3.0ms	(+.f64 12 (*.f64 x -9))

Compiler

Compiled 795 to 636 computations (20% saved)

series165.0ms (3.9%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

73.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
52.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
25.0ms	(+.f64 12 (*.f64 x -9))

Compiler

Compiled 423 to 370 computations (12.5% saved)

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5215	817

prune65.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Error

0.0b

Counts

70 → 6

Compiler

Compiled 941 to 744 computations (20.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite63.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_15121`
8×	`pow1_binary64_15143` `add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `add-sqr-sqrt_binary64_15104`
7×	`*-un-lft-identity_binary64_15082`
5×	`add-cube-cbrt_binary64_15117`
3×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `associate-r_binary64_15022` `cancel-sign-sub-inv_binary64_15048`
2×	`sum-log_binary64_15173` `diff-log_binary64_15174`
1×	`unswap-sqr_binary64_15050` `associate-l_binary64_15023` `*-commutative_binary64_15013` `flip3-+_binary64_15085` `flip-+_binary64_15056` `+-commutative_binary64_15012` `flip3--_binary64_15086` `sub-neg_binary64_15075` `flip--_binary64_15057` `difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034` `associate--r+_binary64_15018`

Counts

3 → 48

Calls

3 calls:

6.0ms	(-.f64 3 (+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9)))
6.0ms	(.f64 (.f64 x x) -9)
4.0ms	(+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9))

Compiler

Compiled 951 to 640 computations (32.7% saved)

series158.0ms (3.7%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

66.0ms	(-.f64 3 (+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9)))
56.0ms	(+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9))
26.0ms	(.f64 (.f64 x x) -9)

Compiler

Compiled 403 to 357 computations (11.4% saved)

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5024	808

prune51.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Error

0.0b

Counts

72 → 6

Compiler

Compiled 933 to 704 computations (24.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 3 (.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (+.f64 12 (.f64 x 9)))))
0.1b	(.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (+.f64 12 (.f64 x 9))))
0.2b	(/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (+.f64 12 (*.f64 x 9)))
0.2b	(.f64 x (.f64 x 81))

rewrite170.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64_15104`
21×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
19×	`times-frac_binary64_15088`
16×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `associate-r_binary64_15022`
11×	`pow1_binary64_15143`
6×	`add-log-exp_binary64_15121` `associate-l_binary64_15023`
5×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
4×	`pow-prod-down_binary64_15153` `associate-/r/_binary64_15028`
3×	`associate-/l_binary64_15027` `associate-/r_binary64_15026`
2×	`*-commutative_binary64_15013` `div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079` `flip3--_binary64_15086` `associate-/l/_binary64_15029` `flip--_binary64_15057` `flip3-+_binary64_15085` `flip-+_binary64_15056` `unswap-sqr_binary64_15050`
1×	`frac-2neg_binary64_15093` `div-sub_binary64_15087` `clear-num_binary64_15081` `associate-*r/_binary64_15024` `diff-log_binary64_15174` `sub-neg_binary64_15075` `cancel-sign-sub-inv_binary64_15048`

Counts

4 → 96

Calls

4 calls:

10.0ms	(.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (+.f64 12 (.f64 x 9))))
6.0ms	(/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (+.f64 12 (*.f64 x 9)))
5.0ms	(.f64 x (.f64 x 81))
3.0ms	(-.f64 3 (.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (+.f64 12 (.f64 x 9)))))

Compiler

Compiled 2836 to 2205 computations (22.2% saved)

series335.0ms (7.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

126.0ms	(-.f64 3 (.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (+.f64 12 (.f64 x 9)))))
91.0ms	(.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (+.f64 12 (.f64 x 9))))
74.0ms	(/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (+.f64 12 (*.f64 x 9)))
29.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 576 to 502 computations (12.8% saved)

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4956	2507
1	4956	2507

prune136.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	120	6	126

Error

0.0b

Counts

126 → 6

Compiler

Compiled 2778 to 2072 computations (25.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite249.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_15113`
23×	`add-sqr-sqrt_binary64_15104`
18×	`cbrt-div_binary64_15114`
15×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
11×	`pow1_binary64_15143`
9×	`pow1/3_binary64_15164` `flip3--_binary64_15086` `flip--_binary64_15057`
6×	`add-exp-log_binary64_15120` `swap-sqr_binary64_15049` `associate-l_binary64_15023` `associate-r_binary64_15022`
4×	`add-log-exp_binary64_15121` `add-cbrt-cube_binary64_15118` `frac-times_binary64_15092` `unswap-sqr_binary64_15050`
2×	`pow-prod-down_binary64_15153` `pow-prod-up_binary64_15152` `pow-sqr_binary64_15055` `associate-l/_binary64_15025` `associate-r/_binary64_15024`
1×	`pow2_binary64_15163` `pow-plus_binary64_15145` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `*-commutative_binary64_15013`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9))))) (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (*.f64 x 9))))))
2.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
2.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
2.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))

Compiler

Compiled 4124 to 3393 computations (17.7% saved)

series520.0ms (12.1%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

103.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
103.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
96.0ms	(cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9)))))
94.0ms	(.f64 (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (.f64 x 9))))) (cbrt.f64 (-.f64 3 (.f64 x (-.f64 12 (*.f64 x 9))))))

Compiler

Compiled 4872 to 4281 computations (12.1% saved)

simplify84.0ms (2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4929	3843
1	4929	3843

prune331.0ms (7.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	135	6	141

Error

Counts

141 → 6

Compiler

Compiled 5344 to 4402 computations (17.6% saved)

regimes279.0ms (6.5%)

Accuracy

Total 0.1b remaining (97.8%)

Threshold costs 0.1b (97.8%)

Compiler

Compiled 3092 to 2641 computations (14.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	16
1	73	16

end0.0ms (0%)

sample1.2s (27.7%)

Algorithm

1×

intervals

Results

252.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 765 to 654 computations (14.5% saved)

Details

analyze133.0ms (3.1%)

sample15.0ms (0.3%)

simplify44.0ms (1%)

prune8.0ms (0.2%)

localize6.0ms (0.1%)

rewrite69.0ms (1.6%)

series165.0ms (3.9%)

simplify64.0ms (1.5%)

prune65.0ms (1.5%)

localize7.0ms (0.2%)

rewrite63.0ms (1.5%)

series158.0ms (3.7%)

simplify67.0ms (1.6%)

prune51.0ms (1.2%)

localize12.0ms (0.3%)

rewrite170.0ms (4%)

series335.0ms (7.8%)

simplify50.0ms (1.2%)

prune136.0ms (3.2%)

localize12.0ms (0.3%)

rewrite249.0ms (5.8%)

series520.0ms (12.1%)

simplify84.0ms (2%)

prune331.0ms (7.7%)

regimes279.0ms (6.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (27.7%)

Profiling