Details

analyze609.0ms (8.2%)

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)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	6×	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

prune3.0ms (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

30.2b

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))
0.9b	(+.f64 (.f64 a c) (.f64 b d))
29.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite78.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

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:

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

Compiler

Compiled 1469 to 193 computations (86.9% saved)

series604.0ms (8.1%)

Error

7.3b

Counts

3 → 60

Calls

3 calls:

321.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
147.0ms	(+.f64 (.f64 a c) (.f64 b d))
96.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2046 to 1283 computations (37.3% saved)

simplify94.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5047	2038

prune90.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	7	114

Error

7.3b

Counts

114 → 7

Compiler

Compiled 2194 to 280 computations (87.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(+.f64 (.f64 d b) (.f64 c a))
18.7b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
33.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
33.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite121.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

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

Compiler

Compiled 3379 to 516 computations (84.7% saved)

series890.0ms (12%)

Error

7.2b

Counts

4 → 92

Calls

4 calls:

402.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
144.0ms	(+.f64 (.f64 d b) (.f64 c a))
128.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
125.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6276 to 3577 computations (43% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4971	3586
1	4971	3586

prune179.0ms (2.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	173	3	176
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	173	10	183

Error

7.2b

Counts

183 → 10

Compiler

Compiled 5667 to 1174 computations (79.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

25.4b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
34.4b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
34.4b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
34.4b	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite108.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

18×	`cbrt-div_binary64_3179`
10×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
9×	`add-exp-log_binary64_3185` `add-cube-cbrt_binary64_3182` `cbrt-prod_binary64_3178` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
8×	`associate-/r/_binary64_3093`
7×	`add-cbrt-cube_binary64_3183`
4×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `frac-times_binary64_3157`
3×	`pow1/3_binary64_3229` `times-frac_binary64_3153` `associate-/l*_binary64_3092`
2×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `associate-/l/_binary64_3094` `associate-l/_binary64_3090` `associate-r/_binary64_3089`
1×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/r*_binary64_3091`

Counts

4 → 70

Calls

4 calls:

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

Compiler

Compiled 3407 to 350 computations (89.7% saved)

series1.5s (20.1%)

Error

7.2b

Counts

4 → 60

Calls

4 calls:

915.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) (cbrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
173.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
165.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
164.0ms	(cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 5694 to 3434 computations (39.7% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5077	2905

prune142.0ms (1.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	129	11	140

Error

7.2b

Counts

140 → 11

Compiler

Compiled 4936 to 988 computations (80% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 7.2b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	3	3
Total	11	11

Error

7.2b

Counts

11 → 11

Compiler

Compiled 0 to 0 computations (0% saved)

regimes1.1s (14.3%)

Accuracy

Total 14.6b remaining (72%)

Threshold costs 0b (0%)

Compiler

Compiled 7384 to 3908 computations (47.1% saved)

bsearch122.0ms (1.6%)

Steps

Iters	Range		Point
11	1.9641220545437873e+114	2.7934368769307997e+135	2.665235252998217e+132
9	1.9120762899968295e+92	1.6310614866103982e+98	1.9371910220821266e+92
8	8.460773969095456e+20	2.048262242449681e+24	7.644444375681995e+23
10	1.8396862566505489e-81	6.409688820778068e-64	1.3087003290237327e-72
9	-1.6715536960265608e+101	-9.185580999231953e+94	-1.3977594964147e+95

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	155
1	49	155

end0.0ms (0%)

sample1.6s (21.4%)

Algorithm

1×

intervals

Results

333.0ms	8000×	body	128	valid
18.0ms	472×	body	128	invalid

Compiler

Compiled 1589 to 832 computations (47.6% saved)

Details

analyze609.0ms (8.2%)

sample22.0ms (0.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite78.0ms (1.1%)

series604.0ms (8.1%)

simplify94.0ms (1.3%)

prune90.0ms (1.2%)

localize14.0ms (0.2%)

rewrite121.0ms (1.6%)

series890.0ms (12%)

simplify92.0ms (1.2%)

prune179.0ms (2.4%)

localize14.0ms (0.2%)

rewrite108.0ms (1.5%)

series1.5s (20.1%)

simplify78.0ms (1.1%)

prune142.0ms (1.9%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune1.0ms (0%)

regimes1.1s (14.3%)

bsearch122.0ms (1.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (21.4%)

Profiling