Details

analyze707.0ms (10.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	72
1	38	72
0	3	3
1	3	3

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
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

Symmetry

(sort x y z)

Compiler

Compiled 15 to 12 computations (20% saved)

sample43.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	72×	body	128	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	18
1	38	18

prune4.0ms (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

18.0b

Counts

2 → 2

Compiler

Compiled 38 to 31 computations (18.4% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
1.6b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
17.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite77.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

17.9b

Rules

9×	`add-sqr-sqrt_binary64_16468`
8×	`*-un-lft-identity_binary64_16446`
6×	`pow1_binary64_16507` `add-cube-cbrt_binary64_16481`
5×	`add-log-exp_binary64_16485` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
4×	`associate-r_binary64_16386`
3×	`flip3-+_binary64_16449` `flip-+_binary64_16420` `sqrt-prod_binary64_16462` `associate-l_binary64_16387`
2×	`sqrt-div_binary64_16463` `distribute-rgt-in_binary64_16396` `associate-+l+_binary64_16379` `distribute-lft-in_binary64_16395` `associate-*r/_binary64_16388`
1×	`pow1/2_binary64_16526` `sqrt-pow1_binary64_16464` `rem-sqrt-square_binary64_16459` `sum-log_binary64_16537` `+-commutative_binary64_16376` `pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `unswap-sqr_binary64_16414` `distribute-lft-out_binary64_16397` `*-commutative_binary64_16377`

Counts

3 → 51

Calls

3 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
7.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
6.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 1041 to 318 computations (69.5% saved)

series384.0ms (5.5%)

Error

17.6b

Counts

3 → 45

Calls

3 calls:

150.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
116.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
90.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 1737 to 1148 computations (33.9% saved)

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5011	1198

prune88.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	84	12	96
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	86	12	98

Error

17.5b

Counts

98 → 12

Compiler

Compiled 1661 to 578 computations (65.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 z y))
0.6b	(cbrt.f64 (+.f64 z y))
1.6b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
17.1b	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))

rewrite116.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

17.5b

Rules

11×	`*-un-lft-identity_binary64_16446`
8×	`add-sqr-sqrt_binary64_16468` `cbrt-prod_binary64_16477`
7×	`add-cube-cbrt_binary64_16481`
6×	`add-log-exp_binary64_16485`
5×	`pow1_binary64_16507`
4×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `flip3-+_binary64_16449` `flip-+_binary64_16420` `cbrt-div_binary64_16478`
3×	`sqrt-prod_binary64_16462`
2×	`sqrt-div_binary64_16463` `pow1/3_binary64_16528` `distribute-lft-out_binary64_16397`
1×	`pow1/2_binary64_16526` `sqrt-pow1_binary64_16464` `rem-sqrt-square_binary64_16459` `sum-log_binary64_16537` `+-commutative_binary64_16376`

Counts

4 → 54

Calls

4 calls:

26.0ms	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
21.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))
3.0ms	(cbrt.f64 (+.f64 z y))
3.0ms	(cbrt.f64 (+.f64 z y))

Compiler

Compiled 1968 to 410 computations (79.2% saved)

series477.0ms (6.9%)

Error

17.5b

Counts

4 → 46

Calls

4 calls:

158.0ms	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
133.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))
77.0ms	(cbrt.f64 (+.f64 z y))
74.0ms	(cbrt.f64 (+.f64 z y))

Compiler

Compiled 2625 to 1834 computations (30.1% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4950	1323
1	4950	1323

prune94.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	98	14	112

Error

17.5b

Counts

112 → 14

Compiler

Compiled 2384 to 776 computations (67.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
1.8b	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
17.1b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
17.1b	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

rewrite74.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

17.5b

Rules

8×	`add-log-exp_binary64_16485` `add-sqr-sqrt_binary64_16468`
6×	`pow1_binary64_16507` `add-cube-cbrt_binary64_16481` `sqrt-prod_binary64_16462` `*-un-lft-identity_binary64_16446`
4×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `flip3-+_binary64_16449` `sqrt-div_binary64_16463` `flip-+_binary64_16420` `associate-+r+_binary64_16378`
2×	`pow1/2_binary64_16526` `sqrt-pow1_binary64_16464` `rem-sqrt-square_binary64_16459` `sum-log_binary64_16537` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `+-commutative_binary64_16376`

Counts

4 → 56

Calls

4 calls:

4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
4.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
4.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

Compiler

Compiled 1990 to 337 computations (83.1% saved)

series612.0ms (8.8%)

Error

17.5b

Counts

4 → 60

Calls

4 calls:

165.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
149.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 y x)))
132.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))
125.0ms	(sqrt.f64 (+.f64 (.f64 y x) (.f64 z (+.f64 y x))))

Compiler

Compiled 4542 to 2497 computations (45% saved)

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5052	1786

prune113.0ms (1.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	115	15	130

Error

17.5b

Counts

130 → 15

Compiler

Compiled 3502 to 724 computations (79.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 (+.f64 z y)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 z y)))
1.6b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z y))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
17.1b	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z y))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))

rewrite243.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

17.5b

Rules

22×	`cbrt-prod_binary64_16477`
13×	`*-un-lft-identity_binary64_16446`
10×	`add-sqr-sqrt_binary64_16468`
9×	`add-cube-cbrt_binary64_16481`
8×	`cbrt-div_binary64_16478`
6×	`add-log-exp_binary64_16485`
5×	`pow1_binary64_16507`
4×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `flip3-+_binary64_16449` `flip-+_binary64_16420`
3×	`sqrt-prod_binary64_16462`
2×	`sqrt-div_binary64_16463` `pow1/3_binary64_16528` `distribute-lft-out_binary64_16397`
1×	`pow1/2_binary64_16526` `sqrt-pow1_binary64_16464` `rem-sqrt-square_binary64_16459` `sum-log_binary64_16537` `+-commutative_binary64_16376`

Counts

4 → 60

Calls

4 calls:

74.0ms	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z y))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
68.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z y))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 z y)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 z y)))

Compiler

Compiled 3257 to 528 computations (83.8% saved)

series532.0ms (7.7%)

Error

17.5b

Counts

4 → 46

Calls

4 calls:

200.0ms	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z y))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))))) (cbrt.f64 (+.f64 y z))) (.f64 y z))
140.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 z y)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z y))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))) (cbrt.f64 (cbrt.f64 (+.f64 z y)))))) (cbrt.f64 (+.f64 y z))) (.f64 y z)))
83.0ms	(cbrt.f64 (cbrt.f64 (+.f64 z y)))
72.0ms	(cbrt.f64 (cbrt.f64 (+.f64 z y)))

Compiler

Compiled 3153 to 1944 computations (38.3% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4996	1529
1	4996	1529

prune102.0ms (1.5%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	106	15	121

Error

17.5b

Counts

121 → 15

Compiler

Compiled 3052 to 842 computations (72.4% saved)

regimes500.0ms (7.2%)

Accuracy

Total 0.6b remaining (2.9%)

Threshold costs 0.6b (2.9%)

Compiler

Compiled 6494 to 3830 computations (41% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

Compiler

Compiled 24 to 20 computations (16.7% saved)

end0.0ms (0%)

sample2.4s (34.6%)

Algorithm

1×

intervals

Results

363.0ms	8000×	body	128	valid
104.0ms	2290×	body	128	nan

Compiler

Compiled 1161 to 698 computations (39.9% saved)

Details

analyze707.0ms (10.2%)

sample43.0ms (0.6%)

simplify7.0ms (0.1%)

prune4.0ms (0.1%)

localize14.0ms (0.2%)

rewrite77.0ms (1.1%)

series384.0ms (5.5%)

simplify65.0ms (0.9%)

prune88.0ms (1.3%)

localize15.0ms (0.2%)

rewrite116.0ms (1.7%)

series477.0ms (6.9%)

simplify77.0ms (1.1%)

prune94.0ms (1.3%)

localize14.0ms (0.2%)

rewrite74.0ms (1.1%)

series612.0ms (8.8%)

simplify85.0ms (1.2%)

prune113.0ms (1.6%)

localize19.0ms (0.3%)

rewrite243.0ms (3.5%)

series532.0ms (7.7%)

simplify54.0ms (0.8%)

prune102.0ms (1.5%)

regimes500.0ms (7.2%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample2.4s (34.6%)

Profiling