Details

analyze870.0ms (14.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample34.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
3.0ms	42×	body	128	invalid
2.0ms	33×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify508.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (351.0ms)

Iter	Nodes	Cost
0	4909	24
1	4909	24

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/2) b)
0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.2b	(*.f64 z (log.f64 t))

rewrite46.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64_14604`
18×	`add-sqr-sqrt_binary64_14589`
14×	`*-un-lft-identity_binary64_14568`
12×	`log-prod_binary64_14651` `add-cube-cbrt_binary64_14600`
10×	`sum-log_binary64_14656`
9×	`pow1_binary64_14626`
8×	`add-cbrt-cube_binary64_14601` `associate-l_binary64_14511` `add-exp-log_binary64_14603`
7×	`associate-r_binary64_14510`
6×	`diff-log_binary64_14657` `distribute-lft-in_binary64_14519` `associate-*l/_binary64_14513` `distribute-rgt-in_binary64_14520` `associate--r+_binary64_14506` `flip3--_binary64_14572` `flip--_binary64_14543`
4×	`frac-add_binary64_14576`
2×	`cbrt-unprod_binary64_14598` `*-commutative_binary64_14501` `prod-exp_binary64_14614` `associate--l+_binary64_14507` `pow-prod-down_binary64_14636` `sub-neg_binary64_14561` `associate-+l+_binary64_14503` `unswap-sqr_binary64_14536`
1×	`flip3-+_binary64_14571` `difference-of-squares_binary64_14537` `log-pow_binary64_14654` `distribute-lft-out--_binary64_14522` `+-commutative_binary64_14500` `flip-+_binary64_14542` `associate-+l-_binary64_14505`

Counts

4 → 88

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
11.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))

series434.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

264.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
72.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
55.0ms	(*.f64 z (log.f64 t))
42.0ms	(*.f64 (-.f64 a 1/2) b)

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5144	1964

prune126.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

Compiler

Compiled 2536 to 940 computations (62.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
0.0b	(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 t)))) (.f64 (-.f64 a 1/2) b))
0.2b	(-.f64 z (*.f64 z (log.f64 t)))
0.2b	(*.f64 z (log.f64 t))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-log-exp_binary64_14604`
24×	`frac-add_binary64_14576`
17×	`sum-log_binary64_14656`
15×	`*-un-lft-identity_binary64_14568`
13×	`flip3--_binary64_14572` `flip--_binary64_14543`
12×	`add-sqr-sqrt_binary64_14589` `associate-*l/_binary64_14513` `log-prod_binary64_14651`
10×	`flip3-+_binary64_14571` `add-cube-cbrt_binary64_14600` `flip-+_binary64_14542`
7×	`pow1_binary64_14626`
6×	`add-cbrt-cube_binary64_14601` `distribute-lft-in_binary64_14519` `distribute-rgt-in_binary64_14520` `associate--r+_binary64_14506` `add-exp-log_binary64_14603`
5×	`diff-log_binary64_14657`
4×	`associate-r_binary64_14510`
3×	`associate-l_binary64_14511` `distribute-lft-out_binary64_14521`
2×	`associate-+r-_binary64_14504` `+-commutative_binary64_14500` `sub-neg_binary64_14561` `associate-+l+_binary64_14503`
1×	`cbrt-unprod_binary64_14598` `*-commutative_binary64_14501` `prod-exp_binary64_14614` `pow-prod-down_binary64_14636` `log-pow_binary64_14654` `associate-+r+_binary64_14502` `associate-+l-_binary64_14505` `unswap-sqr_binary64_14536`

Counts

4 → 94

Calls

4 calls:

14.0ms	(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 t)))) (.f64 (-.f64 a 1/2) b))
9.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
5.0ms	(*.f64 z (log.f64 t))
4.0ms	(-.f64 z (*.f64 z (log.f64 t)))

series457.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

275.0ms	(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 t)))) (.f64 (-.f64 a 1/2) b))
68.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
64.0ms	(-.f64 z (*.f64 z (log.f64 t)))
50.0ms	(*.f64 z (log.f64 t))

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5070	3299

prune128.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	107	7	114

Merged error: 0b

Counts

114 → 7

Compiler

Compiled 3289 to 1158 computations (64.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 0 (log.f64 t)) -1)
0.0b	(+.f64 (+.f64 x y) (*.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z)))
0.0b	(+.f64 (+.f64 (+.f64 x y) (.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))) (.f64 (-.f64 a 1/2) b))
0.3b	(*.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))

rewrite61.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`associate-*l/_binary64_14513`
24×	`frac-add_binary64_14576`
22×	`add-log-exp_binary64_14604` `*-un-lft-identity_binary64_14568`
18×	`flip3-+_binary64_14571` `flip-+_binary64_14542`
12×	`add-sqr-sqrt_binary64_14589` `sum-log_binary64_14656`
10×	`associate-r_binary64_14510` `distribute-lft-out_binary64_14521`
8×	`pow1_binary64_14626` `add-cube-cbrt_binary64_14600`
7×	`associate-l_binary64_14511`
6×	`add-cbrt-cube_binary64_14601` `flip3--_binary64_14572` `add-exp-log_binary64_14603` `flip--_binary64_14543`
3×	`distribute-lft-neg-in_binary64_14527` `+-commutative_binary64_14500` `associate-+l+_binary64_14503` `distribute-rgt-neg-in_binary64_14528` `distribute-rgt-neg-out_binary64_14530`
2×	`log-pow_binary64_14654` `difference-of-sqr--1_binary64_14539` `unsub-neg_binary64_14562`
1×	`cbrt-unprod_binary64_14598` `*-commutative_binary64_14501` `prod-exp_binary64_14614` `neg-mul-1_binary64_14564` `pow-prod-down_binary64_14636` `associate-+l-_binary64_14505` `unswap-sqr_binary64_14536`

Counts

4 → 94

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (+.f64 x y) (.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))) (.f64 (-.f64 a 1/2) b))
13.0ms	(*.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))
11.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z)))
8.0ms	(+.f64 (+.f64 0 (log.f64 t)) -1)

series523.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

294.0ms	(+.f64 (+.f64 (+.f64 x y) (.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))) (.f64 (-.f64 a 1/2) b))
85.0ms	(*.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))
74.0ms	(+.f64 (+.f64 0 (log.f64 t)) -1)
69.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z)))

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4915	3221
1	4915	3221

prune147.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	106	7	113

Merged error: 0b

Counts

113 → 7

Compiler

Compiled 3320 to 1567 computations (52.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64_14651`
30×	`distribute-lft-in_binary64_14519` `distribute-rgt-in_binary64_14520`
24×	`cbrt-prod_binary64_14596`
23×	`add-sqr-sqrt_binary64_14589`
21×	`add-cube-cbrt_binary64_14600` `*-un-lft-identity_binary64_14568`
12×	`pow1_binary64_14626`
11×	`add-cbrt-cube_binary64_14601` `add-exp-log_binary64_14603`
6×	`associate-l_binary64_14511` `associate-r_binary64_14510`
4×	`cbrt-unprod_binary64_14598` `prod-exp_binary64_14614` `pow-prod-down_binary64_14636` `add-log-exp_binary64_14604`
3×	`pow1/3_binary64_14647`
2×	`*-commutative_binary64_14501` `log-pow_binary64_14654`
1×	`unswap-sqr_binary64_14536`

Counts

4 → 96

Calls

4 calls:

8.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series562.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt.f64 t)
149.0ms	(cbrt.f64 t)
139.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
114.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4967	1362
1	4967	1362

prune125.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	108	7	115

Merged error: 0b

Counts

115 → 7

Compiler

Compiled 3200 to 1316 computations (58.9% saved)

regimes227.0ms (3.9%)

Compiler: Compiled 1909 to 1706 computations (10.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	24
1	73	24

end0.0ms (0%)

sample1.2s (20.6%)

Algorithm

1×

intervals

Results

497.0ms	8000×	body	128	valid
71.0ms	1183×	body	128	invalid
60.0ms	1115×	body	128	nan

Compiler

Compiled 218 to 194 computations (11% saved)

Details

analyze870.0ms (14.8%)

sample34.0ms (0.6%)

simplify508.0ms (8.7%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite46.0ms (0.8%)

series434.0ms (7.4%)

simplify48.0ms (0.8%)

prune126.0ms (2.1%)

localize14.0ms (0.2%)

rewrite44.0ms (0.8%)

series457.0ms (7.8%)

simplify67.0ms (1.1%)

prune128.0ms (2.2%)

localize16.0ms (0.3%)

rewrite61.0ms (1%)

series523.0ms (8.9%)

simplify83.0ms (1.4%)

prune147.0ms (2.5%)

localize18.0ms (0.3%)

rewrite27.0ms (0.5%)

series562.0ms (9.6%)

simplify73.0ms (1.2%)

prune125.0ms (2.1%)

regimes227.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (20.6%)

Profiling