Details

analyze1.0s (13.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample85.0ms (1.1%)

Algorithm

1×

intervals

Results

27.0ms	323×	body	128	nan
21.0ms	256×	body	128	valid
4.0ms	48×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune4.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`log-prod_binary64`
15×	`add-log-exp_binary64`
14×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-+l+_binary64` `sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 87

Calls

4 calls:

12.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
12.0ms	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
6.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
6.0ms	(*.f64 x (log.f64 y))

series346.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
84.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
77.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
51.0ms	(*.f64 x (log.f64 y))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4960	1299
1	4960	1299

prune309.0ms (3.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	10	100

Merged error: 0b

Counts

100 → 10

Compiler

Compiled 6503 to 4179 computations (35.7% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64`
36×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
30×	`cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-+l+_binary64`
12×	`associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series619.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt.f64 y)
166.0ms	(cbrt.f64 y)
144.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
133.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4907	1356
1	4907	1356

prune173.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	114	10	124

Merged error: 0b

Counts

124 → 10

Compiler

Compiled 4403 to 2133 computations (51.6% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.3b	(*.f64 x (log.f64 y))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64`
33×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
8×	`associate-*l/_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

19.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
6.0ms	(*.f64 x (log.f64 y))
2.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series616.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
172.0ms	(cbrt.f64 c)
154.0ms	(cbrt.f64 c)
50.0ms	(*.f64 x (log.f64 y))

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5575	1542

prune195.0ms (2.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	3	4	7
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Merged error: 0b

Counts

121 → 8

Compiler

Compiled 4717 to 2226 computations (52.8% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (*.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1)))
0.3b	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1))) (+.f64 (*.f64 b 3) -3/2))
0.3b	(*.f64 x (log.f64 y))
0.6b	(cbrt.f64 (neg.f64 c))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64`
10×	`cbrt-prod_binary64`
9×	`associate-l_binary64`
8×	`add-cbrt-cube_binary64`
7×	`associate-r_binary64` `log-prod_binary64` `log-pow_binary64`
6×	`pow-prod-down_binary64`
5×	`pow1/3_binary64`
4×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
2×	`cbrt-unprod_binary64` `rem-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `neg-mul-1_binary64` `flip-+_binary64`

Counts

4 → 81

Calls

4 calls:

13.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1))) (+.f64 (*.f64 b 3) -3/2))
6.0ms	(*.f64 x (log.f64 y))
6.0ms	(log.f64 (*.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1)))
2.0ms	(cbrt.f64 (neg.f64 c))

series913.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

350.0ms	(log.f64 (*.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1)))
335.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1))) (+.f64 (*.f64 b 3) -3/2))
180.0ms	(cbrt.f64 (neg.f64 c))
48.0ms	(*.f64 x (log.f64 y))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4988	1307
1	4988	1307

prune156.0ms (2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	93	8	101

Merged error: 0b

Counts

101 → 8

Compiler

Compiled 3514 to 1836 computations (47.8% saved)

regimes275.0ms (3.5%)

Compiler: Compiled 2744 to 2498 computations (9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	32
1	39	32

end0.0ms (0%)

sample2.6s (33.1%)

Algorithm

1×

intervals

Results

735.0ms	10005×	body	128	nan
691.0ms	7999×	body	128	valid
109.0ms	1250×	body	128	invalid
1.0ms	1×	body	1024	valid

Compiler

Compiled 265 to 238 computations (10.2% saved)

Details

analyze1.0s (13.1%)

sample85.0ms (1.1%)

simplify61.0ms (0.8%)

prune4.0ms (0%)

localize19.0ms (0.2%)

rewrite44.0ms (0.6%)

series346.0ms (4.4%)

simplify59.0ms (0.7%)

prune309.0ms (3.9%)

localize23.0ms (0.3%)

rewrite35.0ms (0.4%)

series619.0ms (7.9%)

simplify84.0ms (1.1%)

prune173.0ms (2.2%)

localize28.0ms (0.4%)

rewrite41.0ms (0.5%)

series616.0ms (7.8%)

simplify45.0ms (0.6%)

prune195.0ms (2.5%)

localize25.0ms (0.3%)

rewrite34.0ms (0.4%)

series913.0ms (11.6%)

simplify49.0ms (0.6%)

prune156.0ms (2%)

regimes275.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (33.1%)

Profiling