Details

analyze880.0ms (7.5%)

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%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample117.0ms (1%)

Algorithm

1×

intervals

Results

35.0ms	367×	body	128	nan
20.0ms	229×	body	128	valid
17.0ms	192×	body	128	invalid
4.0ms	13×	body	512	valid
4.0ms	6×	body	1024	valid
2.0ms	8×	body	256	valid
1.0ms	4×	body	512	invalid
1.0ms	4×	body	256	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4948	26
1	4948	26

prune5.0ms (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: 2.0b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.5b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
5.3b	(log.f64 (-.f64 1 z))

rewrite50.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_3851`
32×	`*-un-lft-identity_binary64_3829`
30×	`log-prod_binary64_3915`
24×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `associate--l+_binary64_3766`
20×	`add-cube-cbrt_binary64_3864` `associate-+r+_binary64_3761`
18×	`cancel-sign-sub-inv_binary64_3795`
14×	`associate-+l+_binary64_3762`
10×	`associate-*r/_binary64_3771`
9×	`add-log-exp_binary64_3868`
8×	`pow1_binary64_3890`
7×	`add-exp-log_binary64_3867` `difference-of-squares_binary64_3798`
6×	`flip--_binary64_3804` `add-cbrt-cube_binary64_3865` `flip3--_binary64_3833` `associate-r_binary64_3769` `sub-neg_binary64_3822`
5×	`distribute-lft-out--_binary64_3781`
4×	`frac-add_binary64_3837`
3×	`exp-prod_binary64_3881` `associate-l_binary64_3770`
2×	`rem-exp-log_binary64_3869` `sum-log_binary64_3920` `log-div_binary64_3916` `log-pow_binary64_3918`
1×	`flip3-+_binary64_3832` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `rem-log-exp_binary64_3870` `flip-+_binary64_3803` `prod-exp_binary64_3878` `exp-sum_binary64_3875` `+-commutative_binary64_3759` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862`

Counts

4 → 116

Calls

4 calls:

15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
10.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

series1.4s (11.5%)

Counts

4 → 65

Calls

4 calls:

766.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
343.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
227.0ms	(*.f64 y (-.f64 (log.f64 z) t))
15.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 2841 to 2217 computations (22% saved)

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5038	3806

prune205.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	178	5	183

Merged error: 0.0b

Counts

183 → 5

Compiler

Compiled 4313 to 2014 computations (53.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (-.f64 (neg.f64 z) b))
0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.5b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))

rewrite55.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_3851`
28×	`*-un-lft-identity_binary64_3829`
24×	`cancel-sign-sub-inv_binary64_3795`
22×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
21×	`add-cube-cbrt_binary64_3864`
14×	`associate-+l+_binary64_3762`
12×	`log-prod_binary64_3915` `associate-r/_binary64_3771` `associate-r*_binary64_3769` `associate--l+_binary64_3766`
9×	`add-log-exp_binary64_3868` `pow1_binary64_3890`
8×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-+r+_binary64_3761` `sub-neg_binary64_3822`
6×	`flip--_binary64_3804` `flip3--_binary64_3833` `associate-l_binary64_3770`
4×	`frac-add_binary64_3837` `distribute-lft-out--_binary64_3781`
3×	`exp-prod_binary64_3881`
2×	`rem-exp-log_binary64_3869` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `sum-log_binary64_3920` `prod-exp_binary64_3878` `difference-of-squares_binary64_3798` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862`
1×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `distribute-rgt-neg-in_binary64_3787` `exp-sum_binary64_3875` `+-commutative_binary64_3759` `log-pow_binary64_3918`

Counts

4 → 118

Calls

4 calls:

14.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
10.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
9.0ms	(*.f64 a (-.f64 (neg.f64 z) b))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))

series1.1s (9.4%)

Counts

4 → 78

Calls

4 calls:

535.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
235.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
219.0ms	(*.f64 y (-.f64 (log.f64 z) t))
113.0ms	(*.f64 a (-.f64 (neg.f64 z) b))

Compiler

Compiled 2719 to 2097 computations (22.9% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5034	3379

prune148.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	194	2	196
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	197	4	201

Merged error: 0.0b

Counts

201 → 4

Compiler

Compiled 4021 to 824 computations (79.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (-.f64 (neg.f64 z) b))
0.0b	(pow.f64 E.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.5b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_3851`
29×	`*-un-lft-identity_binary64_3829`
24×	`cancel-sign-sub-inv_binary64_3795`
22×	`add-cube-cbrt_binary64_3864` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
14×	`associate-+l+_binary64_3762`
12×	`log-prod_binary64_3915` `associate-r/_binary64_3771` `associate-r*_binary64_3769` `associate--l+_binary64_3766`
10×	`pow1_binary64_3890`
9×	`add-exp-log_binary64_3867`
8×	`add-cbrt-cube_binary64_3865` `associate-+r+_binary64_3761` `sub-neg_binary64_3822`
6×	`add-log-exp_binary64_3868` `flip--_binary64_3804` `flip3--_binary64_3833` `associate-l_binary64_3770`
4×	`frac-add_binary64_3837` `distribute-lft-out--_binary64_3781`
3×	`unpow-prod-down_binary64_3908` `pow-unpow_binary64_3906`
2×	`pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `pow-exp_binary64_3897` `prod-exp_binary64_3878` `difference-of-squares_binary64_3798` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `flip-+_binary64_3803` `distribute-rgt-neg-in_binary64_3787` `e-exp-1_binary64_3874` `pow-pow_binary64_3901` `unpow-prod-up_binary64_3907` `sqr-pow_binary64_3801` `+-commutative_binary64_3759` `pow-to-exp_binary64_3898` `log-pow_binary64_3918`

Counts

4 → 124

Calls

4 calls:

12.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
9.0ms	(*.f64 a (-.f64 (neg.f64 z) b))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(pow.f64 E.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))

series1.1s (9.6%)

Counts

4 → 78

Calls

4 calls:

538.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
258.0ms	(pow.f64 E.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
211.0ms	(*.f64 y (-.f64 (log.f64 z) t))
121.0ms	(*.f64 a (-.f64 (neg.f64 z) b))

Compiler

Compiled 2818 to 2212 computations (21.5% saved)

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5185	3630

prune151.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	202	4	206

Merged error: 0.0b

Counts

206 → 4

Compiler

Compiled 4351 to 867 computations (80.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.5b	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))
0.5b	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))

rewrite56.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`associate--l+_binary64_3766`
32×	`add-sqr-sqrt_binary64_3851`
30×	`*-un-lft-identity_binary64_3829`
28×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
26×	`cancel-sign-sub-inv_binary64_3795`
24×	`log-prod_binary64_3915` `add-cube-cbrt_binary64_3864`
12×	`associate-r_binary64_3769`
10×	`pow1_binary64_3890` `sub-neg_binary64_3822`
8×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
6×	`associate-l_binary64_3770`
4×	`flip--_binary64_3804` `flip3--_binary64_3833` `distribute-lft-out--_binary64_3781` `associate-*r/_binary64_3771`
2×	`pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `difference-of-squares_binary64_3798` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862` `log-pow_binary64_3918` `diff-log_binary64_3921`

Counts

4 → 126

Calls

4 calls:

9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
9.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
9.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))

series1.5s (12.4%)

Counts

4 → 78

Calls

4 calls:

504.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))
502.0ms	(-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a b))
232.0ms	(*.f64 y (-.f64 (log.f64 z) t))
227.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 3732 to 2620 computations (29.8% saved)

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5469	2732

prune171.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	204	4	208

Merged error: 0.0b

Counts

208 → 4

Compiler

Compiled 6536 to 816 computations (87.5% saved)

regimes455.0ms (3.9%)

Compiler: Compiled 4587 to 4120 computations (10.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	25
1	73	25

end0.0ms (0%)

sample3.8s (32.5%)

Algorithm

1×

intervals

Results

954.0ms	10840×	body	128	nan
654.0ms	7341×	body	128	valid
487.0ms	5434×	body	128	invalid
90.0ms	265×	body	512	valid
78.0ms	134×	body	1024	valid
51.0ms	260×	body	256	valid
42.0ms	126×	body	512	invalid
28.0ms	49×	body	1024	invalid
23.0ms	121×	body	256	invalid

Compiler

Compiled 521 to 468 computations (10.2% saved)

Details

analyze880.0ms (7.5%)

sample117.0ms (1%)

simplify145.0ms (1.2%)

prune5.0ms (0%)

localize14.0ms (0.1%)

rewrite50.0ms (0.4%)

series1.4s (11.5%)

simplify92.0ms (0.8%)

prune205.0ms (1.7%)

localize13.0ms (0.1%)

rewrite55.0ms (0.5%)

series1.1s (9.4%)

simplify87.0ms (0.7%)

prune148.0ms (1.3%)

localize17.0ms (0.1%)

rewrite52.0ms (0.4%)

series1.1s (9.6%)

simplify92.0ms (0.8%)

prune151.0ms (1.3%)

localize15.0ms (0.1%)

rewrite56.0ms (0.5%)

series1.5s (12.4%)

simplify83.0ms (0.7%)

prune171.0ms (1.5%)

regimes455.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.8s (32.5%)

Profiling