Details

analyze712.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
1	43	154
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample33.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

prune2.0ms (0%)

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

27.3b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.3b	(+.f64 (.f64 a c) (.f64 b d))
26.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite94.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

27.1b

Rules

11×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
9×	`times-frac_binary64_3153`
7×	`add-log-exp_binary64_3186`
5×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
4×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
3×	`pow1_binary64_3208` `associate-/l_binary64_3092` `associate-/r_binary64_3091`
2×	`associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `sum-log_binary64_3238` `+-commutative_binary64_3077`
1×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144`

Counts

3 → 53

Calls

3 calls:

14.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
6.0ms	(+.f64 (.f64 a c) (.f64 b d))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 1469 to 193 computations (86.9% saved)

series659.0ms (6%)

Error

5.0b

Counts

3 → 60

Calls

3 calls:

342.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
135.0ms	(+.f64 (.f64 a c) (.f64 b d))
123.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2046 to 1283 computations (37.3% saved)

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5047	2038

prune127.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	104	9	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	9	114

Error

5.0b

Counts

114 → 9

Compiler

Compiled 2283 to 313 computations (86.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 d b) (.f64 c a))
16.5b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.2b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite127.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

23×	`add-sqr-sqrt_binary64_3169`
21×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
18×	`sqrt-prod_binary64_3163` `times-frac_binary64_3153`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-div_binary64_3164` `associate-/r*_binary64_3091`
5×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
3×	`associate-/l*_binary64_3092`
2×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093`
1×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 84

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 3379 to 516 computations (84.7% saved)

series1.1s (10.3%)

Error

5.0b

Counts

4 → 92

Calls

4 calls:

527.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
194.0ms	(+.f64 (.f64 d b) (.f64 c a))
159.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
131.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6246 to 3555 computations (43.1% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4970	3592
1	4970	3592

prune191.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	176	9	185

Error

5.0b

Counts

185 → 9

Compiler

Compiled 5705 to 1165 computations (79.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.3b	(+.f64 (.f64 d b) (.f64 c a))
0.8b	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a))))
26.2b	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a)))

rewrite213.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

5.0b

Rules

90×	`times-frac_binary64_3153`
56×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
18×	`associate-/r*_binary64_3091`
17×	`add-exp-log_binary64_3185`
11×	`add-cbrt-cube_binary64_3183` `associate-/r/_binary64_3093`
8×	`div-exp_binary64_3198` `add-log-exp_binary64_3186` `flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`div-inv_binary64_3144` `associate-/l*_binary64_3092`
5×	`pow1_binary64_3208`
4×	`cbrt-undiv_binary64_3181`
2×	`frac-2neg_binary64_3158` `clear-num_binary64_3146` `associate-/l/_binary64_3094` `1-exp_binary64_3191` `rec-exp_binary64_3197` `sum-log_binary64_3238` `+-commutative_binary64_3077`
1×	`inv-pow_binary64_3232` `pow-flip_binary64_3221`

Counts

4 → 137

Calls

4 calls:

21.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a))))
11.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a)))
8.0ms	(+.f64 (.f64 c c) (.f64 d d))
7.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 4559 to 868 computations (81% saved)

series1.1s (10.5%)

Error

5.0b

Counts

4 → 93

Calls

4 calls:

434.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a)))
375.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a))))
154.0ms	(+.f64 (.f64 d b) (.f64 c a))
87.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 4704 to 3250 computations (30.9% saved)

simplify164.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4966	6397
1	4966	6397

prune229.0ms (2.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	228	11	239

Error

2.6b

Counts

239 → 11

Compiler

Compiled 5818 to 1050 computations (82% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.8b	(cbrt.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))))
26.7b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d)))
26.7b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d)))
26.7b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite246.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

2.6b

Rules

36×	`times-frac_binary64_3153`
35×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
15×	`cbrt-prod_binary64_3178`
10×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`associate-/l_binary64_3092` `associate-/r_binary64_3091`
8×	`associate-/r/_binary64_3093`
7×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`associate-/l/_binary64_3094`
4×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `div-inv_binary64_3144`
3×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146`
1×	`pow1/3_binary64_3229` `cbrt-div_binary64_3179`

Counts

4 → 117

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d)))
9.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d)))
9.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))))

Compiler

Compiled 7669 to 522 computations (93.2% saved)

series1.9s (17.3%)

Error

2.6b

Counts

4 → 97

Calls

4 calls:

547.0ms	(cbrt.f64 (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))))
417.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d)))
390.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d)))
388.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 13304 to 5475 computations (58.8% saved)

simplify118.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5582	6252

prune265.0ms (2.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	214	11	225

Error

2.6b

Counts

225 → 11

Compiler

Compiled 12188 to 794 computations (93.5% saved)

regimes1.3s (12.3%)

Accuracy

Total 11.4b remaining (79.8%)

Threshold costs 0b (0%)

Compiler

Compiled 7044 to 3868 computations (45.1% saved)

bsearch123.0ms (1.1%)

Steps

Iters	Range		Point
9	5.261012177257102e+79	9.232655022452831e+86	1.315316451044619e+86
6	1.4455124447971334e-123	7.993289479926725e-123	2.1472644582174967e-123
10	-1.5447351947110331e-100	-1.2451099552022908e-113	-8.849808015292707e-110
8	-4.362551450141799e+80	-1.5989624956840602e+77	-2.7839182926984815e+79

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	136
1	42	136

end0.0ms (0%)

sample1.8s (16.9%)

Algorithm

1×

intervals

Results

410.0ms	8000×	body	128	valid
25.0ms	443×	body	128	invalid

Compiler

Compiled 1509 to 819 computations (45.7% saved)

Details

analyze712.0ms (6.5%)

sample33.0ms (0.3%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite94.0ms (0.9%)

series659.0ms (6%)

simplify136.0ms (1.2%)

prune127.0ms (1.2%)

localize13.0ms (0.1%)

rewrite127.0ms (1.2%)

series1.1s (10.3%)

simplify65.0ms (0.6%)

prune191.0ms (1.8%)

localize11.0ms (0.1%)

rewrite213.0ms (2%)

series1.1s (10.5%)

simplify164.0ms (1.5%)

prune229.0ms (2.1%)

localize15.0ms (0.1%)

rewrite246.0ms (2.3%)

series1.9s (17.3%)

simplify118.0ms (1.1%)

prune265.0ms (2.4%)

regimes1.3s (12.3%)

bsearch123.0ms (1.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.8s (16.9%)

Profiling