Details

analyze164.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	14
1	76	14
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
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	250×	body	128	valid
0.0ms	4×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	2×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
4×	`associate-r_binary64_3087`
3×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `associate-l_binary64_3088`
2×	`associate-*r/_binary64_3089`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `add-log-exp_binary64_3186` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `*-commutative_binary64_3078`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 249 to 170 computations (31.7% saved)

series60.0ms (2.4%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

54.0ms

(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 126 to 99 computations (21.4% saved)

simplify64.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5135	266

prune26.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

Counts

33 → 3

Compiler

Compiled 289 to 193 computations (33.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

2.6b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
6.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite76.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_3169`
12×	`*-un-lft-identity_binary64_3147`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
8×	`add-cube-cbrt_binary64_3182`
6×	`cancel-sign-sub-inv_binary64_3113`
5×	`times-frac_binary64_3153` `associate-/r*_binary64_3091`
4×	`pow1_binary64_3208` `associate-r/_binary64_3089` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `associate-r*_binary64_3087`
3×	`difference-of-squares_binary64_3116` `flip3--_binary64_3151` `flip--_binary64_3122` `associate-l_binary64_3088`
2×	`prod-exp_binary64_3196` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180` `distribute-lft-out--_binary64_3099` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `sub-neg_binary64_3140`
1×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l_binary64_3092` `pow-prod-down_binary64_3218` `unswap-sqr_binary64_3115` `-commutative_binary64_3078`

Counts

2 → 58

Calls

2 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
8.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

Compiler

Compiled 1105 to 657 computations (40.5% saved)

series240.0ms (9.5%)

Error

Counts

2 → 18

Calls

2 calls:

140.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
89.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

Compiler

Compiled 446 to 361 computations (19.1% saved)

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	6272	1032

prune56.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1097 to 643 computations (41.4% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 30 30) (.f64 d2 30))
0.0b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
1.7b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
11.6b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

rewrite148.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183`
10×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
8×	`add-cube-cbrt_binary64_3182`
6×	`pow1_binary64_3208`
4×	`flip3-+_binary64_3150` `associate-r/_binary64_3089` `flip-+_binary64_3121` `associate-r*_binary64_3087`
3×	`times-frac_binary64_3153` `associate-/r_binary64_3091` `associate-l*_binary64_3088`
2×	`prod-exp_binary64_3196` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `diff-log_binary64_3239` `sum-log_binary64_3238` `sub-neg_binary64_3140` `associate-+r+_binary64_3079` `cancel-sign-sub-inv_binary64_3113`
1×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l_binary64_3092` `pow-prod-down_binary64_3218` `unswap-sqr_binary64_3115` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `distribute-lft-out_binary64_3098` `-commutative_binary64_3078` `associate-+r-_binary64_3081` `+-commutative_binary64_3077` `flip3--_binary64_3151` `flip--_binary64_3122` `distribute-rgt-out--_binary64_3101`

Counts

4 → 76

Calls

4 calls:

15.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
10.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
9.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
4.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))

Compiler

Compiled 2251 to 1603 computations (28.8% saved)

series455.0ms (18%)

Error

Counts

4 → 33

Calls

4 calls:

214.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
123.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
64.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
29.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))

Compiler

Compiled 1232 to 971 computations (21.2% saved)

simplify77.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4922	1557
1	4922	1557

prune114.0ms (4.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Error

Counts

112 → 3

Compiler

Compiled 2237 to 1602 computations (28.4% saved)

regimes108.0ms (4.3%)

Accuracy

Total 0.0b remaining (95.2%)

Threshold costs 0.0b (95.2%)

Compiler

Compiled 788 to 677 computations (14.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample794.0ms (31.4%)

Algorithm

1×

intervals

Results

229.0ms	7838×	body	128	valid
14.0ms	96×	body	1024	valid
3.0ms	40×	body	512	valid
2.0ms	80×	body	128	invalid
1.0ms	25×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 276 to 239 computations (13.4% saved)

Details

analyze164.0ms (6.5%)

sample16.0ms (0.6%)

simplify7.0ms (0.3%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite31.0ms (1.2%)

series60.0ms (2.4%)

simplify64.0ms (2.5%)

prune26.0ms (1%)

localize8.0ms (0.3%)

rewrite76.0ms (3%)

series240.0ms (9.5%)

simplify61.0ms (2.4%)

prune56.0ms (2.2%)

localize12.0ms (0.5%)

rewrite148.0ms (5.9%)

series455.0ms (18%)

simplify77.0ms (3.1%)

prune114.0ms (4.5%)

regimes108.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample794.0ms (31.4%)

Profiling