Details

analyze383.0ms (6.2%)

Algorithm

1×

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample34.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms	237×	body	128	valid
1.0ms	25×	body	128	invalid
1.0ms	6×	body	1024	valid
1.0ms	8×	body	256	valid
1.0ms	5×	body	512	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune3.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_3147`
5×	`add-sqr-sqrt_binary64_3169` `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` `distribute-lft-out_binary64_3098`
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` `*-commutative_binary64_3078`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 336 to 177 computations (47.3% saved)

series116.0ms (1.9%)

Error

0.1b

Counts

1 → 15

Calls

1 calls:

106.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 305 to 220 computations (27.9% saved)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5415	405

prune48.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	36	5	41

Error

Counts

41 → 5

Compiler

Compiled 462 to 277 computations (40% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))
0.4b	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d3 (+.f64 d2 3))) (cbrt.f64 (+.f64 d3 (+.f64 d2 3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite269.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`cbrt-div_binary64_3179`
32×	`associate-*r/_binary64_3089`
30×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
29×	`*-un-lft-identity_binary64_3147`
28×	`frac-times_binary64_3157`
20×	`cbrt-prod_binary64_3178`
14×	`associate-*l/_binary64_3090`
13×	`pow1_binary64_3208` `add-exp-log_binary64_3185`
12×	`distribute-lft-out_binary64_3098`
9×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
8×	`add-cbrt-cube_binary64_3183` `associate-r_binary64_3087`
6×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`add-log-exp_binary64_3186`
3×	`pow1/3_binary64_3229`
1×	`associate-l_binary64_3088` `*-commutative_binary64_3078`

Counts

4 → 97

Calls

4 calls:

48.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d3 (+.f64 d2 3))) (cbrt.f64 (+.f64 d3 (+.f64 d2 3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
10.0ms	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))
9.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
6.0ms	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))

Compiler

Compiled 3741 to 2422 computations (35.3% saved)

series785.0ms (12.6%)

Error

Counts

4 → 57

Calls

4 calls:

187.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d3 (+.f64 d2 3))) (cbrt.f64 (+.f64 d3 (+.f64 d2 3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
164.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
162.0ms	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))
154.0ms	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))

Compiler

Compiled 4175 to 3391 computations (18.8% saved)

simplify114.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5301	4232

prune287.0ms (4.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	154	5	159

Error

Counts

159 → 5

Compiler

Compiled 4668 to 3155 computations (32.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)

rewrite78.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
15×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `unswap-sqr_binary64_3115`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)

Compiler

Compiled 1378 to 526 computations (61.8% saved)

series348.0ms (5.6%)

Error

Counts

4 → 12

Calls

4 calls:

94.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
88.0ms	(cbrt.f64 d1)
84.0ms	(cbrt.f64 d1)
71.0ms	(cbrt.f64 d1)

Compiler

Compiled 591 to 455 computations (23% saved)

simplify108.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune98.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Error

Counts

90 → 5

Compiler

Compiled 1447 to 672 computations (53.6% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
0.0b	(-.f64 9 (*.f64 (+.f64 d3 d2) (+.f64 d3 d2)))
10.1b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
17.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))

rewrite191.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`*-un-lft-identity_binary64_3147`
22×	`add-sqr-sqrt_binary64_3169`
13×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
12×	`add-cube-cbrt_binary64_3182`
8×	`distribute-lft-out_binary64_3098` `associate-r_binary64_3087`
7×	`associate-l_binary64_3088`
6×	`add-log-exp_binary64_3186` `times-frac_binary64_3153` `associate-r/_binary64_3089` `associate-/r_binary64_3091` `flip3-+_binary64_3150` `flip-+_binary64_3121` `swap-sqr_binary64_3114`
4×	`difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099` `flip3--_binary64_3151` `flip--_binary64_3122` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `frac-times_binary64_3157`
3×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113`
2×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `pow-prod-down_binary64_3218` `unswap-sqr_binary64_3115` `-commutative_binary64_3078` `associate--r+_binary64_3083` `associate-l/_binary64_3090`
1×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l*_binary64_3092` `diff-log_binary64_3239` `pow2_binary64_3228` `pow-prod-up_binary64_3217` `pow-plus_binary64_3210` `pow-sqr_binary64_3120`

Counts

4 → 111

Calls

4 calls:

15.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
9.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
3.0ms	(-.f64 9 (*.f64 (+.f64 d3 d2) (+.f64 d3 d2)))

Compiler

Compiled 2949 to 1150 computations (61% saved)

series1.3s (21.5%)

Error

Counts

4 → 73

Calls

4 calls:

551.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
384.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
198.0ms	(-.f64 9 (*.f64 (+.f64 d3 d2) (+.f64 d3 d2)))
135.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))

Compiler

Compiled 3854 to 2814 computations (27% saved)

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4972	3157
1	4972	3157

prune195.0ms (3.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	184	5	189

Error

Counts

189 → 5

Compiler

Compiled 3761 to 1873 computations (50.2% saved)

regimes253.0ms (4.1%)

Accuracy

Total 0.1b remaining (97.3%)

Threshold costs 0.1b (97.3%)

Compiler

Compiled 1968 to 1572 computations (20.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample1.2s (19.7%)

Algorithm

1×

intervals

Results

259.0ms	7477×	body	128	valid
30.0ms	238×	body	512	valid
21.0ms	647×	body	128	invalid
21.0ms	170×	body	1024	valid
7.0ms	115×	body	256	valid

Compiler

Compiled 511 to 411 computations (19.6% saved)

Details

analyze383.0ms (6.2%)

sample34.0ms (0.6%)

simplify93.0ms (1.5%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite39.0ms (0.6%)

series116.0ms (1.9%)

simplify64.0ms (1%)

prune48.0ms (0.8%)

localize13.0ms (0.2%)

rewrite269.0ms (4.3%)

series785.0ms (12.6%)

simplify114.0ms (1.8%)

prune287.0ms (4.6%)

localize11.0ms (0.2%)

rewrite78.0ms (1.3%)

series348.0ms (5.6%)

simplify108.0ms (1.7%)

prune98.0ms (1.6%)

localize22.0ms (0.3%)

rewrite191.0ms (3.1%)

series1.3s (21.5%)

simplify101.0ms (1.6%)

prune195.0ms (3.1%)

regimes253.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (19.7%)

Profiling