Details

analyze357.0ms (12.9%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	62.4%	12.6%	8
37.4%	43.7%	18.9%	9
37.4%	43.7%	18.9%	10
49.9%	31.2%	18.9%	11
56.2%	20.3%	23.5%	12
56.2%	20.3%	23.5%	13
61.6%	14.8%	23.5%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample25.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

35×	`associate-l_binary64`
24×	`distribute-rgt-in_binary64`
24×	`sub-neg_binary64`
18×	`distribute-lft-in_binary64`
18×	`unsub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	129	12
5	138	12
6	147	12
7	173	12
8	182	12
9	176	12
10	142	12

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.1b	(.f64 (.f64 (*.f64 a a) b) b)
10.4b	(.f64 (.f64 a a) b)

rewrite41.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

3.7b

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 40

Calls

2 calls:

5.0ms	(.f64 (.f64 (*.f64 a a) b) b)
4.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 507 to 144 computations (71.6% saved)

series31.0ms (1.1%)

Error

15.1b

Counts

2 → 12

Calls

2 calls:

19.0ms	(.f64 (.f64 (*.f64 a a) b) b)
10.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 283 to 218 computations (23% saved)

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

377×	`associate-*l/_binary64`
359×	`unswap-sqr_binary64`
354×	`associate-/l/_binary64`
323×	`associate-/l*_binary64`
272×	`sqr-pow_binary64`

Counts

52 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	635
1	138	506
2	474	482
3	771	464
4	1477	453
5	2346	453
6	5112	453

prune16.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Error

0.1b

Counts

39 → 8

Alt Table

Status	Error	Program
✓	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	22.3b	(neg.f64 (.f64 (.f64 a (*.f64 a (pow.f64 b 3/2))) (sqrt.f64 b)))
▶	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	23.0b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
	31.9b	(neg.f64 (exp.f64 (.f64 2 (log.f64 (.f64 a b)))))
	19.7b	(neg.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 b b)) 1))
	20.9b	(neg.f64 (.f64 (.f64 (.f64 a (.f64 a (sqrt.f64 b))) (sqrt.f64 b)) b))
	17.2b	(neg.f64 (.f64 (.f64 (fabs.f64 (.f64 a (sqrt.f64 b))) (fabs.f64 (.f64 a (sqrt.f64 b)))) b))

Compiler

Compiled 366 to 194 computations (47% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 a b) (*.f64 a b))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`pow1_binary64`
17×	`pow-prod-down_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
8×	`cbrt-unprod_binary64`

Counts

1 → 34

Calls

1 calls:

6.0ms

(*.f64 (*.f64 a b) (*.f64 a b))

Compiler

Compiled 315 to 84 computations (73.3% saved)

series14.0ms (0.5%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

13.0ms

(*.f64 (*.f64 a b) (*.f64 a b))

Compiler

Compiled 143 to 117 computations (18.2% saved)

simplify67.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-l_binary64`
396×	`times-frac_binary64`
352×	`associate-r_binary64`
341×	`associate-/l*_binary64`
311×	`associate-/l/_binary64`

Counts

40 → 35

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	409
1	90	304
2	313	270
3	1003	270
4	1416	228
5	2258	228
6	4484	228
7	5070	228

prune12.0ms (0.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	34	9	43

Error

0.1b

Counts

43 → 9

Alt Table

Status	Error	Program
	23.0b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
	15.4b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
	31.9b	(neg.f64 (exp.f64 (.f64 2 (log.f64 (.f64 a b)))))
▶	0.8b	(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
✓	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	22.3b	(neg.f64 (.f64 (.f64 a (*.f64 a (pow.f64 b 3/2))) (sqrt.f64 b)))
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	20.9b	(neg.f64 (.f64 (.f64 (.f64 a (.f64 a (sqrt.f64 b))) (sqrt.f64 b)) b))
	17.2b	(neg.f64 (.f64 (.f64 (fabs.f64 (.f64 a (sqrt.f64 b))) (fabs.f64 (.f64 a (sqrt.f64 b)))) b))

Compiler

Compiled 311 to 196 computations (37% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
21.7b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
21.7b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
21.7b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

rewrite153.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

66×	`cbrt-prod_binary64`
31×	`add-sqr-sqrt_binary64`
16×	`unswap-sqr_binary64`
15×	`sqr-pow_binary64`
15×	`*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
1.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
1.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
1.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

Compiler

Compiled 2853 to 1695 computations (40.6% saved)

series169.0ms (6.1%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

39.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
37.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
36.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
36.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))

Compiler

Compiled 2061 to 1582 computations (23.2% saved)

simplify163.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

587×	`exp-prod_binary64`
477×	`unswap-sqr_binary64`
407×	`log-pow_binary64`
387×	`log-prod_binary64`
311×	`associate-l_binary64`

Counts

127 → 101

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	141	2494
1	255	2274
2	581	1942
3	1719	1777
4	4348	1727
5	4847	1717
6	4611	1717
7	4966	1717

prune62.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	98	12	110

Error

0.0b

Counts

110 → 12

Alt Table

Status	Error	Program
	22.3b	(neg.f64 (.f64 (.f64 a (*.f64 a (pow.f64 b 3/2))) (sqrt.f64 b)))
	1.2b	(neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	16.1b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
▶	0.8b	(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (.f64 a b)))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	15.4b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
	23.0b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
✓	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	1.0b	(neg.f64 (.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)))) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	15.9b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	20.9b	(neg.f64 (.f64 (.f64 (.f64 a (.f64 a (sqrt.f64 b))) (sqrt.f64 b)) b))
	17.2b	(neg.f64 (.f64 (.f64 (fabs.f64 (.f64 a (sqrt.f64 b))) (fabs.f64 (.f64 a (sqrt.f64 b)))) b))

Compiler

Compiled 1572 to 945 computations (39.9% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

12.3b	(cbrt.f64 (*.f64 a b))
12.3b	(cbrt.f64 (*.f64 a b))
21.7b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
21.7b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

rewrite65.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

4 → 46

Calls

4 calls:

2.0ms	(cbrt.f64 (*.f64 a b))
2.0ms	(cbrt.f64 (*.f64 a b))
1.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
1.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

Compiler

Compiled 1379 to 590 computations (57.2% saved)

series144.0ms (5.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

32.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
32.0ms	(cbrt.f64 (pow.f64 (*.f64 a b) 2))
31.0ms	(cbrt.f64 (*.f64 a b))
30.0ms	(cbrt.f64 (*.f64 a b))

Compiler

Compiled 2311 to 1507 computations (34.8% saved)

simplify103.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

900×	`log-prod_binary64`
440×	`associate-l_binary64`
388×	`exp-sum_binary64`
363×	`associate-r_binary64`
333×	`exp-prod_binary64`

Counts

70 → 48

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	92	1018
1	181	976
2	312	816
3	894	652
4	2943	596
5	4483	584
6	4667	584
7	5267	584

prune28.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	48	12	60

Error

0.0b

Counts

60 → 12

Alt Table

Status	Error	Program
	22.3b	(neg.f64 (.f64 (.f64 a (*.f64 a (pow.f64 b 3/2))) (sqrt.f64 b)))
	1.2b	(neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	16.1b	(neg.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	0.8b	(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (.f64 a b)))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	15.4b	(neg.f64 (.f64 a (.f64 a (*.f64 b b))))
	23.0b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 6)))
	15.2b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	1.0b	(neg.f64 (.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)))) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	15.9b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
	20.9b	(neg.f64 (.f64 (.f64 (.f64 a (.f64 a (sqrt.f64 b))) (sqrt.f64 b)) b))
	17.2b	(neg.f64 (.f64 (.f64 (fabs.f64 (.f64 a (sqrt.f64 b))) (fabs.f64 (.f64 a (sqrt.f64 b)))) b))

Compiler

Compiled 817 to 396 computations (51.5% saved)

regimes477.0ms (17.3%)

Accuracy

Total 0.3b remaining (81.4%)

Threshold costs 0.3b (81.4%)

Compiler

Compiled 11457 to 7229 computations (36.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	12	9
2	14	9
3	15	9
4	15	9

end6.0ms (0.2%)

Remove: (sort a b)
Compiler: Compiled 27 to 21 computations (22.2% saved)

sample694.0ms (25.2%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
18.0ms	575×	body	128	invalid

Compiler

Compiled 256 to 170 computations (33.6% saved)

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	129	12
5	138	12
6	147	12
7	173	12
8	182	12
9	176	12
10	142	12

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	129	12
5	138	12
6	147	12
7	173	12
8	182	12
9	176	12
10	142	12

Details

analyze357.0ms (12.9%)

sample25.0ms (0.9%)

simplify16.0ms (0.6%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite41.0ms (1.5%)

series31.0ms (1.1%)

simplify59.0ms (2.1%)

prune16.0ms (0.6%)

localize4.0ms (0.1%)

rewrite22.0ms (0.8%)

series14.0ms (0.5%)

simplify67.0ms (2.4%)

prune12.0ms (0.4%)

localize9.0ms (0.3%)

rewrite153.0ms (5.6%)

series169.0ms (6.1%)

simplify163.0ms (5.9%)

prune62.0ms (2.3%)

localize13.0ms (0.5%)

rewrite65.0ms (2.3%)

series144.0ms (5.2%)

simplify103.0ms (3.7%)

prune28.0ms (1%)

regimes477.0ms (17.3%)

simplify3.0ms (0.1%)

end6.0ms (0.2%)

sample694.0ms (25.2%)

Profiling

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	129	12
5	138	12
6	147	12
7	173	12
8	182	12
9	176	12
10	142	12