Details

analyze816.0ms (11.8%)

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%	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)

sample101.0ms (1.5%)

Algorithm

1×

intervals

Results

27.0ms	314×	body	128	nan
20.0ms	236×	body	128	valid
13.0ms	156×	body	128	invalid
3.0ms	10×	body	512	valid
2.0ms	3×	body	1024	invalid
1.0ms	3×	body	1024	valid
1.0ms	7×	body	256	valid
1.0ms	4×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify148.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4948	26
1	4948	26

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

1.2b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 z) t)
0.2b	(*.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)))
4.7b	(log.f64 (-.f64 1 z))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
33×	`log-prod_binary64_3574`
27×	`associate--l+_binary64_3425`
24×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438`
21×	`cancel-sign-sub-inv_binary64_3454` `add-cube-cbrt_binary64_3523`
20×	`associate-+r+_binary64_3420`
14×	`associate-+l+_binary64_3421`
10×	`associate-*r/_binary64_3430`
9×	`pow1_binary64_3549`
8×	`difference-of-squares_binary64_3457`
7×	`distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `flip--_binary64_3463` `sub-neg_binary64_3481`
6×	`add-cbrt-cube_binary64_3524` `associate-r_binary64_3428`
4×	`frac-add_binary64_3496`
3×	`log-pow_binary64_3577` `associate-l_binary64_3429`
2×	`log-div_binary64_3575`
1×	`rem-log-exp_binary64_3529` `unswap-sqr_binary64_3456` `flip-+_binary64_3462` `diff-log_binary64_3580` `flip3-+_binary64_3491` `cbrt-unprod_binary64_3521` `+-commutative_binary64_3418` `pow-prod-down_binary64_3559` `*-commutative_binary64_3419` `sum-log_binary64_3579` `prod-exp_binary64_3537`

Counts

4 → 123

Calls

4 calls:

15.0ms	(+.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))
5.0ms	(-.f64 (log.f64 z) t)
4.0ms	(log.f64 (-.f64 1 z))

series233.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
56.0ms	(*.f64 y (-.f64 (log.f64 z) t))
34.0ms	(-.f64 (log.f64 z) t)
12.0ms	(log.f64 (-.f64 1 z))

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4998	2492
1	4998	2492

prune149.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	134	3	137

Error

0.0b

Counts

137 → 3

Compiler

Compiled 3417 to 1657 computations (51.5% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.4b	(*.f64 1/3 z)
0.5b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_3510`
22×	`*-un-lft-identity_binary64_3488`
21×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438`
20×	`cancel-sign-sub-inv_binary64_3454`
19×	`add-cube-cbrt_binary64_3523`
16×	`associate--l+_binary64_3425`
14×	`associate-+l+_binary64_3421` `pow1_binary64_3549`
13×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
12×	`log-prod_binary64_3574` `associate-+r+_binary64_3420` `associate-r/_binary64_3430` `associate-r*_binary64_3428`
8×	`sub-neg_binary64_3481`
7×	`associate-l_binary64_3429`
6×	`add-log-exp_binary64_3527`
5×	`flip3--_binary64_3492` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `flip--_binary64_3463` `prod-exp_binary64_3537`
4×	`frac-add_binary64_3496`
3×	`unswap-sqr_binary64_3456` `*-commutative_binary64_3419`
2×	`distribute-lft-out--_binary64_3440` `flip-+_binary64_3462` `flip3-+_binary64_3491`
1×	`difference-of-squares_binary64_3457` `log-pow_binary64_3577` `+-commutative_binary64_3418` `sum-log_binary64_3579`

Counts

4 → 119

Calls

4 calls:

15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))
9.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(*.f64 1/3 z)

series333.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

229.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))
53.0ms	(*.f64 y (-.f64 (log.f64 z) t))
39.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))
11.0ms	(*.f64 1/3 z)

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4955	2920
1	4955	2920

prune167.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 4355 to 2118 computations (51.4% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (exp.f64 b) (-.f64 1 z))
0.0b	(/.f64 (exp.f64 t) z)
1.7b	(pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
45×	`times-frac_binary64_3494`
33×	`add-cube-cbrt_binary64_3523`
24×	`unpow-prod-down_binary64_3567`
14×	`difference-of-squares_binary64_3457`
9×	`associate-/r*_binary64_3432`
7×	`distribute-lft-out--_binary64_3440` `add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
6×	`associate-/l*_binary64_3433`
4×	`associate-/r/_binary64_3434` `pow1_binary64_3549`
3×	`pow-unpow_binary64_3565` `add-log-exp_binary64_3527` `div-exp_binary64_3539` `div-inv_binary64_3485`
2×	`pow-exp_binary64_3556` `clear-num_binary64_3487` `flip3--_binary64_3492` `frac-2neg_binary64_3499` `flip--_binary64_3463` `cbrt-undiv_binary64_3522`
1×	`pow-to-exp_binary64_3557` `sqr-pow_binary64_3460` `pow-pow_binary64_3560`

Counts

3 → 107

Calls

3 calls:

9.0ms	(pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)
7.0ms	(/.f64 (exp.f64 b) (-.f64 1 z))
4.0ms	(/.f64 (exp.f64 t) z)

series154.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)
27.0ms	(/.f64 (exp.f64 b) (-.f64 1 z))
22.0ms	(/.f64 (exp.f64 t) z)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4944	2039
1	4944	2039

prune117.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	116	3	119

Error

Counts

119 → 3

Compiler

Compiled 2806 to 1190 computations (57.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 t) z)
0.0b	(exp.f64 (*.f64 a (-.f64 b (log.f64 (-.f64 1 z)))))
0.2b	(.f64 (pow.f64 (/.f64 (exp.f64 t) z) y) (exp.f64 (.f64 a (-.f64 b (log.f64 (-.f64 1 z))))))
4.7b	(log.f64 (-.f64 1 z))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_3510`
29×	`*-un-lft-identity_binary64_3488`
28×	`exp-sum_binary64_3534`
26×	`add-cube-cbrt_binary64_3523`
19×	`times-frac_binary64_3494`
17×	`associate-l_binary64_3429` `associate-r_binary64_3428`
16×	`cancel-sign-sub-inv_binary64_3454`
15×	`unpow-prod-down_binary64_3567`
14×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438`
10×	`log-div_binary64_3575`
9×	`add-exp-log_binary64_3526` `pow1_binary64_3549`
8×	`add-cbrt-cube_binary64_3524` `associate--r-_binary64_3427`
6×	`log-prod_binary64_3574` `add-log-exp_binary64_3527`
5×	`log-pow_binary64_3577` `flip3--_binary64_3492` `flip--_binary64_3463`
4×	`unswap-sqr_binary64_3456` `prod-exp_binary64_3537` `sub-neg_binary64_3481`
3×	`associate-/r_binary64_3432` `associate-/l_binary64_3433`
2×	`pow-exp_binary64_3556` `difference-of-squares_binary64_3457` `sqr-pow_binary64_3460` `div-exp_binary64_3539` `div-inv_binary64_3485`
1×	`rem-log-exp_binary64_3529` `clear-num_binary64_3487` `distribute-lft-out--_binary64_3440` `exp-to-pow_binary64_3550` `rem-exp-log_binary64_3528` `exp-prod_binary64_3540` `cbrt-unprod_binary64_3521` `pow-to-exp_binary64_3557` `frac-2neg_binary64_3499` `*-commutative_binary64_3419` `cbrt-undiv_binary64_3522`

Counts

4 → 119

Calls

4 calls:

18.0ms	(.f64 (pow.f64 (/.f64 (exp.f64 t) z) y) (exp.f64 (.f64 a (-.f64 b (log.f64 (-.f64 1 z))))))
4.0ms	(exp.f64 (*.f64 a (-.f64 b (log.f64 (-.f64 1 z)))))
4.0ms	(/.f64 (exp.f64 t) z)
4.0ms	(log.f64 (-.f64 1 z))

series362.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

270.0ms	(.f64 (pow.f64 (/.f64 (exp.f64 t) z) y) (exp.f64 (.f64 a (-.f64 b (log.f64 (-.f64 1 z))))))
63.0ms	(exp.f64 (*.f64 a (-.f64 b (log.f64 (-.f64 1 z)))))
17.0ms	(/.f64 (exp.f64 t) z)
12.0ms	(log.f64 (-.f64 1 z))

simplify132.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4897	2487
1	4897	2487

prune136.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Error

Counts

134 → 3

Compiler

Compiled 3251 to 1461 computations (55.1% saved)

regimes179.0ms (2.6%)

Accuracy

Total 0.5b remaining (96.3%)

Threshold costs 0.5b (96.3%)

Compiler

Compiled 1433 to 1446 computations (-0.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	38
1	140	38

end0.0ms (0%)

sample3.5s (49.9%)

Algorithm

1×

intervals

Results

926.0ms	10770×	body	128	nan
648.0ms	7353×	body	128	valid
481.0ms	5437×	body	128	invalid
80.0ms	259×	body	512	valid
69.0ms	120×	body	1024	valid
50.0ms	267×	body	256	valid
43.0ms	139×	body	512	invalid
25.0ms	45×	body	1024	invalid
22.0ms	119×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 191 to 187 computations (2.1% saved)

Details

analyze816.0ms (11.8%)

sample101.0ms (1.5%)

simplify148.0ms (2.1%)

prune4.0ms (0.1%)

localize14.0ms (0.2%)

rewrite47.0ms (0.7%)

series233.0ms (3.4%)

simplify78.0ms (1.1%)

prune149.0ms (2.1%)

localize19.0ms (0.3%)

rewrite49.0ms (0.7%)

series333.0ms (4.8%)

simplify62.0ms (0.9%)

prune167.0ms (2.4%)

localize15.0ms (0.2%)

rewrite29.0ms (0.4%)

series154.0ms (2.2%)

simplify77.0ms (1.1%)

prune117.0ms (1.7%)

localize13.0ms (0.2%)

rewrite44.0ms (0.6%)

series362.0ms (5.2%)

simplify132.0ms (1.9%)

prune136.0ms (2%)

regimes179.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.5s (49.9%)

Profiling