Details

analyze5.0ms (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
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms	64×	body	512	valid
4.0ms	152×	body	128	valid
1.0ms	28×	body	256	valid
1.0ms	12×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify171.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 15.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
2.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite32.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_77`
39×	`add-sqr-sqrt_binary64_98`
36×	`times-frac_binary64_83`
15×	`add-cube-cbrt_binary64_109`
10×	`distribute-lft-out--_binary64_31`
9×	`difference-of-squares_binary64_46`
7×	`distribute-lft-out_binary64_30`
6×	`add-exp-log_binary64_112`
5×	`div-inv_binary64_74`
4×	`associate-/r*_binary64_23` `add-cbrt-cube_binary64_110` `add-log-exp_binary64_113`
3×	`pow1_binary64_135` `associate-/l*_binary64_24`
2×	`div-exp_binary64_125` `associate-/r/_binary64_25`
1×	`flip-+_binary64_51` `cbrt-undiv_binary64_108` `1-exp_binary64_118` `flip3-+_binary64_80` `sub-neg_binary64_70` `rec-exp_binary64_124` `flip--_binary64_52` `inv-pow_binary64_159` `frac-sub_binary64_86` `clear-num_binary64_76` `flip3--_binary64_81` `diff-log_binary64_166` `frac-2neg_binary64_88` `pow-flip_binary64_148`

Counts

2 → 68

Calls

2 calls:

20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
6.0ms	(/.f64 1 (+.f64 x 1))

series46.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
18.0ms	(/.f64 1 (+.f64 x 1))

simplify84.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4878	1178
1	4878	1178

prune69.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Merged error: 0.2b

Counts

75 → 3

Compiler

Compiled 1151 to 922 computations (19.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.2b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
8×	`*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
6×	`add-cube-cbrt_binary64_109`
4×	`pow1_binary64_135` `associate-r/_binary64_21` `associate-r*_binary64_19`
3×	`associate-l_binary64_20` `times-frac_binary64_83` `associate-/l*_binary64_24`
2×	`add-log-exp_binary64_113` `flip-+_binary64_51` `cbrt-unprod_binary64_107` `cbrt-undiv_binary64_108` `flip3-+_binary64_80` `div-exp_binary64_125` `associate-/r/_binary64_25` `prod-exp_binary64_123`
1×	`associate-/r_binary64_23` `pow-prod-down_binary64_145` `distribute-lft-in_binary64_28` `unswap-sqr_binary64_45` `-commutative_binary64_10` `clear-num_binary64_76` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_88` `distribute-lft-out_binary64_30` `div-inv_binary64_74`

Counts

2 → 46

Calls

2 calls:

7.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))
6.0ms	(*.f64 x (+.f64 1 x))

series85.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(*.f64 x (+.f64 1 x))
25.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify66.0ms (3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4952	553
1	4952	553

prune48.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	50	5	55

Merged error: 0.0b

Counts

55 → 5

Compiler

Compiled 621 to 462 computations (25.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_83`
78×	`*-un-lft-identity_binary64_77`
50×	`add-cube-cbrt_binary64_109` `add-sqr-sqrt_binary64_98`
14×	`distribute-lft-out_binary64_30`
13×	`associate-/l*_binary64_24`
6×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `div-inv_binary64_74`
4×	`associate-/r*_binary64_23`
3×	`cbrt-undiv_binary64_108` `div-exp_binary64_125`
2×	`associate-/r/_binary64_25`
1×	`add-log-exp_binary64_113` `flip-+_binary64_51` `flip3-+_binary64_80` `pow1_binary64_135` `clear-num_binary64_76` `associate-/l/_binary64_26` `frac-2neg_binary64_88`

Counts

1 → 86

Calls

1 calls:

9.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

series28.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

simplify74.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4939	1864
1	4939	1864

prune82.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

Compiler

Compiled 1464 to 1058 computations (27.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (+.f64 x 1))) (cbrt.f64 (*.f64 x (+.f64 x 1))))
14.1b	(cbrt.f64 (*.f64 x (+.f64 x 1)))
14.1b	(cbrt.f64 (*.f64 x (+.f64 x 1)))
14.1b	(cbrt.f64 (*.f64 x (+.f64 x 1)))

rewrite31.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_21`
18×	`cbrt-div_binary64_106`
11×	`pow1_binary64_135`
10×	`add-sqr-sqrt_binary64_98`
9×	`flip-+_binary64_51` `flip3-+_binary64_80` `pow1/3_binary64_156`
8×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
7×	`cbrt-prod_binary64_105`
6×	`add-exp-log_binary64_112`
4×	`associate-l_binary64_20` `add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `frac-times_binary64_87` `swap-sqr_binary64_44` `associate-r_binary64_19`
2×	`pow-prod-down_binary64_145` `pow-sqr_binary64_50` `pow-prod-up_binary64_144` `associate-*l/_binary64_22`
1×	`pow2_binary64_155` `cbrt-unprod_binary64_107` `pow-plus_binary64_137` `unswap-sqr_binary64_45` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 x 1))) (cbrt.f64 (*.f64 x (+.f64 x 1))))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))

series292.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 x 1))) (cbrt.f64 (*.f64 x (+.f64 x 1))))
75.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))
65.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))
61.0ms	(cbrt.f64 (*.f64 x (+.f64 x 1)))

simplify61.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5563	1373

prune115.0ms (5.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

Compiler

Compiled 2235 to 1681 computations (24.8% saved)

regimes62.0ms (2.8%)

Compiler: Compiled 540 to 440 computations (18.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample764.0ms (34.8%)

Algorithm

1×

intervals

Results

139.0ms	1969×	body	512	valid
128.0ms	4612×	body	128	valid
48.0ms	994×	body	256	valid
39.0ms	425×	body	1024	valid

Compiler

Compiled 277 to 227 computations (18.1% saved)

Details

analyze5.0ms (0.2%)

sample16.0ms (0.7%)

simplify171.0ms (7.8%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

rewrite32.0ms (1.5%)

series46.0ms (2.1%)

simplify84.0ms (3.8%)

prune69.0ms (3.2%)

localize4.0ms (0.2%)

rewrite16.0ms (0.7%)

series85.0ms (3.9%)

simplify66.0ms (3%)

prune48.0ms (2.2%)

localize4.0ms (0.2%)

rewrite18.0ms (0.8%)

series28.0ms (1.3%)

simplify74.0ms (3.4%)

prune82.0ms (3.7%)

localize9.0ms (0.4%)

rewrite31.0ms (1.4%)

series292.0ms (13.3%)

simplify61.0ms (2.8%)

prune115.0ms (5.3%)

regimes62.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample764.0ms (34.8%)

Profiling