Details

analyze7.0ms (0.1%)

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 14 to 12 computations (14.3% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify230.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

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

0.0b

Counts

2 → 2

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_15104`
4×	`add-cube-cbrt_binary64_15117` `add-cbrt-cube_binary64_15118` `*-un-lft-identity_binary64_15082` `pow1_binary64_15143` `add-log-exp_binary64_15121` `add-exp-log_binary64_15120`
3×	`associate-l_binary64_15023` `associate-r_binary64_15022`
2×	`flip-+_binary64_15056` `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` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `cbrt-unprod_binary64_15115` `+-commutative_binary64_15012` `*-commutative_binary64_15013`

Counts

2 → 33

Calls

4 calls:

11.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
6.0ms	(+.f64 12 (*.f64 x -9))
0.0ms	(+.f64 12 (*.f64 x -9))
0.0ms	(.f64 x (+.f64 12 (.f64 x -9)))

series102.0ms (1.9%)

Counts

2 → 12

Calls

2 calls:

68.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
34.0ms	(+.f64 12 (*.f64 x -9))

Compiler

Compiled 158 to 144 computations (8.9% saved)

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5181	482

prune102.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Error

0.0b

Counts

47 → 4

Compiler

Compiled 626 to 498 computations (20.4% saved)

localize16.0ms (0.3%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 (.f64 x 3) x)
0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
0.0b	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
0.0b	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
0.2b	(.f64 (.f64 x 3) x)

rewrite48.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_15118` `pow1_binary64_15143` `add-exp-log_binary64_15120`
8×	`*-un-lft-identity_binary64_15082` `add-sqr-sqrt_binary64_15104`
7×	`associate-r_binary64_15022`
6×	`add-cube-cbrt_binary64_15117`
5×	`add-log-exp_binary64_15121`
4×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `associate-l_binary64_15023`
2×	`-commutative_binary64_15013` `associate-r/_binary64_15024`
1×	`unswap-sqr_binary64_15050` `cancel-sign-sub-inv_binary64_15048` `distribute-rgt-in_binary64_15032` `flip3--_binary64_15086` `flip-+_binary64_15056` `distribute-lft-in_binary64_15031` `sub-neg_binary64_15075` `distribute-lft-out_binary64_15033` `diff-log_binary64_15174` `flip--_binary64_15057` `flip3-+_binary64_15085`

Counts

3 → 53

Calls

6 calls:

20.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
10.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
10.0ms	(.f64 (.f64 x 3) x)
0.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
0.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

series218.0ms (4%)

Counts

3 → 18

Calls

3 calls:

98.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
93.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
26.0ms	(.f64 (.f64 x 3) x)

Compiler

Compiled 281 to 262 computations (6.8% saved)

simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5022	905

prune123.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Error

Counts

75 → 5

Compiler

Compiled 1175 to 947 computations (19.4% saved)

localize19.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_15118` `add-exp-log_binary64_15120` `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` `flip3--_binary64_15086` `flip--_binary64_15057` `associate-/r/_binary64_15028`
3×	`associate-/r_binary64_15026` `associate-/l_binary64_15027`
2×	`div-exp_binary64_15133` `associate-/l/_binary64_15029` `unswap-sqr_binary64_15050` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079` `*-commutative_binary64_15013`
1×	`frac-2neg_binary64_15093` `div-sub_binary64_15087` `cancel-sign-sub-inv_binary64_15048` `clear-num_binary64_15081` `sub-neg_binary64_15075` `diff-log_binary64_15174` `associate-*r/_binary64_15024`

Counts

4 → 96

Calls

8 calls:

10.0ms	(.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (.f64 x -9))))
7.0ms	(/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (*.f64 x -9)))
5.0ms	(.f64 x (.f64 x 81))
3.0ms	(-.f64 12 (*.f64 x -9))
0.0ms	(-.f64 12 (*.f64 x -9))

series280.0ms (5.1%)

Counts

4 → 21

Calls

4 calls:

122.0ms	(.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (.f64 x -9))))
93.0ms	(/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (*.f64 x -9)))
37.0ms	(-.f64 12 (*.f64 x -9))
27.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 405 to 353 computations (12.8% saved)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5009	2144

prune229.0ms (4.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	117	5	122

Error

Counts

122 → 5

Compiler

Compiled 2716 to 2130 computations (21.6% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))) (cbrt.f64 3))
0.1b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))) (cbrt.f64 3)))
0.1b	(.f64 x (+.f64 (.f64 x 3) -4))
0.0b	(+.f64 (*.f64 x 3) -4)
0.0b	(+.f64 (*.f64 x 3) -4)
0.1b	(.f64 x (+.f64 (.f64 x 3) -4))
0.1b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))) (cbrt.f64 3)))
0.1b	(.f64 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))) (cbrt.f64 3))

rewrite59.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64_15143` `add-exp-log_binary64_15120`
15×	`add-sqr-sqrt_binary64_15104`
13×	`add-cbrt-cube_binary64_15118`
10×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `associate-r_binary64_15022`
9×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
7×	`associate-l_binary64_15023`
6×	`add-log-exp_binary64_15121`
4×	`cbrt-prod_binary64_15113` `flip-+_binary64_15056` `associate-l/_binary64_15025` `associate-r/_binary64_15024` `flip3-+_binary64_15085`
3×	`unswap-sqr_binary64_15050` `*-commutative_binary64_15013`
1×	`sum-log_binary64_15173` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `+-commutative_binary64_15012`

Counts

4 → 81

Calls

8 calls:

16.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))) (cbrt.f64 3)))
14.0ms	(.f64 x (+.f64 (.f64 x 3) -4))
8.0ms	(+.f64 (*.f64 x 3) -4)
7.0ms	(.f64 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))) (cbrt.f64 3))
0.0ms	(+.f64 (*.f64 x 3) -4)

series480.0ms (8.8%)

Counts

4 → 30

Calls

4 calls:

200.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))) (cbrt.f64 3)))
173.0ms	(.f64 (+.f64 1 (.f64 x (+.f64 (*.f64 x 3) -4))) (cbrt.f64 3))
62.0ms	(.f64 x (+.f64 (.f64 x 3) -4))
45.0ms	(+.f64 (*.f64 x 3) -4)

Compiler

Compiled 776 to 748 computations (3.6% saved)

simplify136.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4899	1616
1	4899	1616

prune219.0ms (4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	111	5	116

Error

Counts

116 → 5

Compiler

Compiled 2202 to 1911 computations (13.2% saved)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	1067	491
1	1067	491

regimes78.0ms (1.4%)

Accuracy

Total 0.1b remaining (97.9%)

Threshold costs 0.1b (97.9%)

Compiler

Compiled 333 to 283 computations (15% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

end0.0ms (0%)

sample2.6s (48.3%)

Algorithm

1×

intervals

Results

405.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 1018 to 865 computations (15% saved)

Pareto

0.8523418809885834

Details

analyze7.0ms (0.1%)

sample19.0ms (0.3%)

simplify230.0ms (4.2%)

prune8.0ms (0.2%)

localize12.0ms (0.2%)

rewrite22.0ms (0.4%)

series102.0ms (1.9%)

simplify115.0ms (2.1%)

prune102.0ms (1.9%)

localize16.0ms (0.3%)

rewrite48.0ms (0.9%)

series218.0ms (4%)

simplify103.0ms (1.9%)

prune123.0ms (2.3%)

localize19.0ms (0.4%)

rewrite40.0ms (0.7%)

series280.0ms (5.1%)

simplify68.0ms (1.2%)

prune229.0ms (4.2%)

localize11.0ms (0.2%)

rewrite59.0ms (1.1%)

series480.0ms (8.8%)

simplify136.0ms (2.5%)

prune219.0ms (4%)

simplify73.0ms (1.3%)

regimes78.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.6s (48.3%)

Profiling