Details

analyze281.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	20
1	45	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample30.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune4.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) x)
0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3186`
4×	`*-un-lft-identity_binary64_3147` `sum-log_binary64_3238`
2×	`add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `add-sqr-sqrt_binary64_3169` `pow1_binary64_3208` `+-commutative_binary64_3077` `add-cube-cbrt_binary64_3182`
1×	`associate-+l+_binary64_3080` `distribute-lft-out_binary64_3098`

Counts

2 → 25

Calls

2 calls:

12.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
8.0ms	(+.f64 (*.f64 x y) x)

series211.0ms (4.1%)

Counts

2 → 21

Calls

2 calls:

128.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
82.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 203 to 161 computations (20.7% saved)

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4983	484
1	4983	484

prune57.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 479 to 111 computations (76.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
15×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip-+_binary64_3121` `flip3-+_binary64_3150`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-l_binary64_3088`
4×	`frac-times_binary64_3157` `unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `pow-prod-up_binary64_3217` `associate-r/_binary64_3089` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

series1.3s (24.9%)

Counts

4 → 47

Calls

4 calls:

402.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
302.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
292.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
289.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

Compiler

Compiled 2580 to 1822 computations (29.4% saved)

simplify125.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5298	2640

prune207.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	134	3	137

Error

Counts

137 → 3

Compiler

Compiled 3798 to 924 computations (75.7% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
2.7b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
9.2b	(.f64 x (.f64 y y))
28.7b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

rewrite92.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
14×	`add-sqr-sqrt_binary64_3169`
13×	`*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208` `add-cube-cbrt_binary64_3182`
6×	`cancel-sign-sub-inv_binary64_3113` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
5×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`pow-prod-down_binary64_3218` `associate-r_binary64_3087` `distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097` `associate-*r/_binary64_3089`
3×	`times-frac_binary64_3153` `flip--_binary64_3122` `flip3--_binary64_3151` `associate-/r*_binary64_3091`
2×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `sub-neg_binary64_3140` `associate-/l/_binary64_3094` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `flip-+_binary64_3121` `frac-2neg_binary64_3158` `flip3-+_binary64_3150` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077` `associate-/l*_binary64_3092` `div-inv_binary64_3144` `sum-log_binary64_3238`

Counts

4 → 84

Calls

4 calls:

28.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))
24.0ms	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
17.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
10.0ms	(.f64 x (.f64 y y))

series1.0s (20.2%)

Counts

4 → 36

Calls

4 calls:

441.0ms	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
313.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))
204.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
87.0ms	(.f64 x (.f64 y y))

Compiler

Compiled 788 to 587 computations (25.5% saved)

simplify125.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4981	2028
1	4981	2028

prune144.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Error

Counts

123 → 3

Compiler

Compiled 2404 to 414 computations (82.8% saved)

regimes134.0ms (2.6%)

Accuracy

Total 0.0b remaining (69.2%)

Threshold costs 0.0b (69.2%)

Compiler

Compiled 525 to 324 computations (38.3% saved)

bsearch0.0ms (0%)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample1.2s (23%)

Algorithm

1×

intervals

Results

314.0ms	8000×	body	128	valid
3.0ms	78×	body	128	invalid

Compiler

Compiled 184 to 115 computations (37.5% saved)

Details

analyze281.0ms (5.4%)

sample30.0ms (0.6%)

simplify15.0ms (0.3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite23.0ms (0.4%)

series211.0ms (4.1%)

simplify84.0ms (1.6%)

prune57.0ms (1.1%)

localize17.0ms (0.3%)

rewrite51.0ms (1%)

series1.3s (24.9%)

simplify125.0ms (2.4%)

prune207.0ms (4%)

localize21.0ms (0.4%)

rewrite92.0ms (1.8%)

series1.0s (20.2%)

simplify125.0ms (2.4%)

prune144.0ms (2.8%)

regimes134.0ms (2.6%)

bsearch0.0ms (0%)

simplify14.0ms (0.3%)

end0.0ms (0%)

sample1.2s (23%)

Profiling