Details

analyze349.0ms (6.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 30 to 27 computations (10% saved)

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify152.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune6.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 63 to 58 computations (7.9% saved)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite98.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64_71`
44×	`times-frac_binary64_77`
42×	`add-sqr-sqrt_binary64_93`
31×	`add-cube-cbrt_binary64_106`
18×	`distribute-lft-out_binary64_22` `cancel-sign-sub-inv_binary64_37`
10×	`add-exp-log_binary64_109`
8×	`add-cbrt-cube_binary64_107` `associate-/r*_binary64_15` `add-log-exp_binary64_110`
7×	`associate-/l*_binary64_16`
6×	`associate-/r/_binary64_17` `difference-of-squares_binary64_40`
5×	`flip-+_binary64_45` `pow1_binary64_132` `flip3-+_binary64_74`
4×	`div-inv_binary64_68`
3×	`div-exp_binary64_122`
2×	`associate-/l/_binary64_18` `clear-num_binary64_70` `cbrt-undiv_binary64_105` `distribute-lft-out--_binary64_23` `frac-2neg_binary64_82`
1×	`flip--_binary64_46` `+-commutative_binary64_1` `inv-pow_binary64_156` `rec-exp_binary64_121` `flip3--_binary64_75` `1-exp_binary64_115` `diff-log_binary64_163` `sum-log_binary64_162` `pow-flip_binary64_145` `sub-neg_binary64_64`

Counts

4 → 126

Calls

8 calls:

29.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
27.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
12.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))

series411.0ms (7.1%)

Counts

4 → 46

Calls

4 calls:

285.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
42.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
42.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
42.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))

Compiler

Compiled 763 to 719 computations (5.8% saved)

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4833	4080
1	4833	4080

prune273.0ms (4.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	172	2	174

Error

Counts

174 → 2

Compiler

Compiled 3954 to 3430 computations (13.3% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))
0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6)))
0.0b	(/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6)))
0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))

rewrite97.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64_71`
46×	`add-sqr-sqrt_binary64_93`
36×	`times-frac_binary64_77`
28×	`add-cube-cbrt_binary64_106`
18×	`associate-r_binary64_11`
17×	`add-exp-log_binary64_109`
15×	`cancel-sign-sub-inv_binary64_37`
11×	`add-cbrt-cube_binary64_107`
8×	`add-log-exp_binary64_110`
7×	`pow1_binary64_132`
6×	`associate-/r/_binary64_17` `difference-of-squares_binary64_40` `flip-+_binary64_45` `flip3-+_binary64_74`
5×	`distribute-lft-out_binary64_22`
4×	`div-exp_binary64_122` `div-inv_binary64_68` `associate-l_binary64_12` `prod-exp_binary64_120`
3×	`associate-/r_binary64_15` `unswap-sqr_binary64_39` `associate-/l_binary64_16`
2×	`frac-times_binary64_81` `associate-*l/_binary64_14` `rec-exp_binary64_121` `cbrt-undiv_binary64_105` `distribute-lft-out--_binary64_23` `cbrt-unprod_binary64_104` `1-exp_binary64_115`
1×	`flip--_binary64_46` `+-commutative_binary64_1` `inv-pow_binary64_156` `clear-num_binary64_70` `-commutative_binary64_2` `flip3--_binary64_75` `pow-prod-down_binary64_142` `un-div-inv_binary64_69` `frac-2neg_binary64_82` `diff-log_binary64_163` `sum-log_binary64_162` `associate-r/_binary64_13` `pow-flip_binary64_145` `sub-neg_binary64_64`

Counts

4 → 125

Calls

8 calls:

30.0ms	(-.f64 1 (/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6)))
22.0ms	(*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))
20.0ms	(/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6))
11.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0ms	(-.f64 1 (/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6)))

series157.0ms (2.7%)

Counts

4 → 46

Calls

4 calls:

43.0ms	(*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))
41.0ms	(-.f64 1 (/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6)))
40.0ms	(/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6))
34.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)

Compiler

Compiled 787 to 743 computations (5.6% saved)

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4897	3892
1	4897	3892

prune242.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	171	2	173

Error

Counts

173 → 2

Compiler

Compiled 4000 to 3483 computations (12.9% saved)

localize17.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(.f64 (/.f64 1 (-.f64 (.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 36)) (-.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b	(-.f64 1 (.f64 (/.f64 1 (-.f64 (.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 36)) (-.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.1b	(*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))

rewrite142.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

290×	`*-un-lft-identity_binary64_71`
156×	`times-frac_binary64_77`
94×	`distribute-lft-out_binary64_22`
90×	`add-sqr-sqrt_binary64_93`
78×	`add-cube-cbrt_binary64_106`
42×	`swap-sqr_binary64_38`
22×	`add-cbrt-cube_binary64_107` `associate-r_binary64_11` `associate-l_binary64_12` `add-exp-log_binary64_109`
14×	`associate-/r/_binary64_17`
12×	`associate-/r_binary64_15` `associate-/l_binary64_16`
11×	`pow1_binary64_132`
10×	`flip-+_binary64_45` `flip3-+_binary64_74`
7×	`div-exp_binary64_122` `div-inv_binary64_68` `cbrt-undiv_binary64_105`
6×	`associate-/l/_binary64_18`
4×	`unswap-sqr_binary64_39` `add-log-exp_binary64_110` `prod-exp_binary64_120` `cbrt-unprod_binary64_104`
3×	`clear-num_binary64_70` `frac-2neg_binary64_82`
1×	`pow-sqr_binary64_44` `pow2_binary64_152` `frac-times_binary64_81` `associate-l/_binary64_14` `-commutative_binary64_2` `pow-prod-up_binary64_141` `pow-prod-down_binary64_142` `pow-plus_binary64_134` `associate-*r/_binary64_13`

Counts

4 → 234

Calls

8 calls:

44.0ms	(*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))
21.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0ms	(-.f64 1 (.f64 (/.f64 1 (-.f64 (.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 36)) (-.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))

series212.0ms (3.7%)

Counts

4 → 44

Calls

4 calls:

62.0ms	(*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))
50.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
50.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
49.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

Compiler

Compiled 2096 to 1872 computations (10.7% saved)

simplify113.0ms (2%)

Algorithm

1×	egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4938	7383
1	4938	7383

prune1.3s (22.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	278	2	280

Error

Counts

280 → 2

Compiler

Compiled 13530 to 11615 computations (14.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	286	373
1	286	373

regimes270.0ms (4.7%)

Accuracy

Total 0.0b remaining (82.4%)

Threshold costs 0.0b (82.4%)

Compiler

Compiled 2487 to 2317 computations (6.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	28
1	39	28

end0.0ms (0%)

sample1.7s (29%)

Algorithm

1×

intervals

Results

555.0ms

8000×

body

128

valid

Compiler

Compiled 795 to 739 computations (7% saved)

Pareto

0.9197741651626014

Details

analyze349.0ms (6.1%)

sample27.0ms (0.5%)

simplify152.0ms (2.6%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

rewrite98.0ms (1.7%)

series411.0ms (7.1%)

simplify97.0ms (1.7%)

prune273.0ms (4.7%)

localize11.0ms (0.2%)

rewrite97.0ms (1.7%)

series157.0ms (2.7%)

simplify96.0ms (1.7%)

prune242.0ms (4.2%)

localize17.0ms (0.3%)

rewrite142.0ms (2.5%)

series212.0ms (3.7%)

simplify113.0ms (2%)

prune1.3s (22.5%)

simplify9.0ms (0.2%)

regimes270.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (29%)

Profiling