Details

analyze1.0s (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4999	416
1	4999	416
0	6	6
1	6	6

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)

sample125.0ms (0.8%)

Algorithm

1×

intervals

Results

31.0ms	366×	body	128	nan
20.0ms	236×	body	128	valid
16.0ms	189×	body	128	invalid
3.0ms	5×	body	1024	valid
3.0ms	8×	body	512	valid
1.0ms	4×	body	512	invalid
1.0ms	7×	body	256	valid
0.0ms	1×	body	1024	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4948	26
1	4948	26

prune9.0ms (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

1.7b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (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))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
3.8b	(log.f64 (-.f64 1 z))

rewrite244.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

36×	`add-sqr-sqrt_binary64_2146`
33×	`*-un-lft-identity_binary64_2124`
30×	`log-prod_binary64_2210`
24×	`distribute-rgt-in_binary64_2074` `associate--l+_binary64_2061` `distribute-lft-in_binary64_2073`
21×	`add-cube-cbrt_binary64_2159`
20×	`associate-+r+_binary64_2056`
18×	`cancel-sign-sub-inv_binary64_2090`
14×	`associate-+l+_binary64_2057`
10×	`pow1_binary64_2185` `associate-r/_binary64_2066` `associate-r*_binary64_2064`
8×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
7×	`difference-of-squares_binary64_2093`
6×	`flip3--_binary64_2128` `flip--_binary64_2099` `add-log-exp_binary64_2163` `sub-neg_binary64_2117` `associate-l_binary64_2065`
5×	`distribute-lft-out--_binary64_2076`
4×	`frac-add_binary64_2132`
2×	`log-pow_binary64_2213` `log-div_binary64_2211` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`
1×	`rem-log-exp_binary64_2165` `sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054` `exp-sum_binary64_2170`

Counts

4 → 122

Calls

4 calls:

15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
13.0ms	(.f64 x (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))

Compiler

Compiled 3464 to 1667 computations (51.9% saved)

series2.8s (18.3%)

Error

0.0b

Counts

4 → 74

Calls

4 calls:

1.2s	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
1.2s	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
318.0ms	(*.f64 y (-.f64 (log.f64 z) t))
27.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 5914 to 3758 computations (36.5% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5059	5241

prune292.0ms (1.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	192	4	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	193	5	198

Error

0.0b

Counts

198 → 5

Compiler

Compiled 5265 to 2463 computations (53.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite184.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_2146`
29×	`*-un-lft-identity_binary64_2124`
24×	`cancel-sign-sub-inv_binary64_2090`
22×	`add-cube-cbrt_binary64_2159` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
16×	`associate-r_binary64_2064`
14×	`associate-+l+_binary64_2057`
12×	`associate-*r/_binary64_2066` `log-prod_binary64_2210` `associate--l+_binary64_2061`
11×	`pow1_binary64_2185`
10×	`add-cbrt-cube_binary64_2160`
9×	`add-exp-log_binary64_2162` `associate-l_binary64_2065`
8×	`sub-neg_binary64_2117` `associate-+r+_binary64_2056`
6×	`add-log-exp_binary64_2163` `flip3--_binary64_2128` `flip--_binary64_2099`
4×	`frac-add_binary64_2132` `distribute-lft-out--_binary64_2076`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`
2×	`difference-of-squares_binary64_2093`
1×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054` `log-pow_binary64_2213` `exp-sum_binary64_2170` `distribute-rgt-neg-in_binary64_2082`

Counts

4 → 124

Calls

4 calls:

13.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (neg.f64 z) b)))))
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))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 3167 to 722 computations (77.2% saved)

series2.2s (14.3%)

Error

0.0b

Counts

4 → 88

Calls

4 calls:

825.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (neg.f64 z) b)))))
781.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
313.0ms	(*.f64 y (-.f64 (log.f64 z) t))
165.0ms	(*.f64 a (-.f64 (neg.f64 z) b))

Compiler

Compiled 5669 to 2905 computations (48.8% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5034	4784

prune210.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	212	5	217

Error

0.0b

Counts

217 → 5

Compiler

Compiled 4939 to 914 computations (81.5% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (exp.f64 (.f64 a (-.f64 (neg.f64 z) b))))
0.0b	(*.f64 a (-.f64 (neg.f64 z) b))

rewrite73.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`associate-r_binary64_2064`
16×	`add-sqr-sqrt_binary64_2146`
14×	`*-un-lft-identity_binary64_2124`
12×	`cancel-sign-sub-inv_binary64_2090`
10×	`add-cube-cbrt_binary64_2159`
8×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `exp-sum_binary64_2170`
6×	`pow1_binary64_2185` `add-cbrt-cube_binary64_2160` `associate-l_binary64_2065`
5×	`add-exp-log_binary64_2162`
4×	`sub-neg_binary64_2117`
2×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `associate-r/_binary64_2066` `distribute-lft-out--_binary64_2076` `-commutative_binary64_2055`
1×	`flip3--_binary64_2128` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-rgt-neg-in_binary64_2082`

Counts

2 → 57

Calls

2 calls:

10.0ms	(.f64 x (exp.f64 (.f64 a (-.f64 (neg.f64 z) b))))
9.0ms	(*.f64 a (-.f64 (neg.f64 z) b))

Compiler

Compiled 924 to 258 computations (72.1% saved)

series485.0ms (3.2%)

Error

0.0b

Counts

2 → 35

Calls

2 calls:

287.0ms	(.f64 x (exp.f64 (.f64 a (-.f64 (neg.f64 z) b))))
165.0ms	(*.f64 a (-.f64 (neg.f64 z) b))

Compiler

Compiled 1427 to 1126 computations (21.1% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4985	1316
1	4985	1316

prune83.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Error

Counts

97 → 6

Compiler

Compiled 1403 to 397 computations (71.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 z) t)
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
5.0b	(.f64 (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a z))) (-.f64 x (.f64 (*.f64 a b) x)))
6.6b	(.f64 (.f64 a b) x)

rewrite185.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`associate--l+_binary64_2061`
27×	`add-sqr-sqrt_binary64_2146`
26×	`*-un-lft-identity_binary64_2124`
23×	`associate-l_binary64_2065`
19×	`add-cube-cbrt_binary64_2159`
18×	`cancel-sign-sub-inv_binary64_2090`
16×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `exp-sum_binary64_2170`
15×	`pow1_binary64_2185` `log-prod_binary64_2210`
13×	`add-cbrt-cube_binary64_2160` `associate-r_binary64_2064`
12×	`add-exp-log_binary64_2162`
8×	`sub-neg_binary64_2117`
5×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157`
4×	`flip3--_binary64_2128` `flip--_binary64_2099` `associate-*r/_binary64_2066` `distribute-lft-out--_binary64_2076`
3×	`*-commutative_binary64_2055` `exp-diff_binary64_2172`
2×	`frac-times_binary64_2134` `unswap-sqr_binary64_2092` `difference-of-squares_binary64_2093` `log-pow_binary64_2213`
1×	`associate-*l/_binary64_2067` `distribute-rgt-out--_binary64_2078` `diff-log_binary64_2216`

Counts

4 → 119

Calls

4 calls:

18.0ms	(.f64 (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a z))) (-.f64 x (.f64 (*.f64 a b) x)))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
5.0ms	(.f64 (.f64 a b) x)
5.0ms	(-.f64 (log.f64 z) t)

Compiler

Compiled 3232 to 646 computations (80% saved)

series2.0s (12.9%)

Error

Counts

4 → 64

Calls

4 calls:

1.2s	(.f64 (exp.f64 (-.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a z))) (-.f64 x (.f64 (*.f64 a b) x)))
310.0ms	(*.f64 y (-.f64 (log.f64 z) t))
176.0ms	(-.f64 (log.f64 z) t)
144.0ms	(.f64 (.f64 a b) x)

Compiler

Compiled 6073 to 2817 computations (53.6% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5360	4881

prune207.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	183	6	189

Error

Counts

189 → 6

Compiler

Compiled 5138 to 985 computations (80.8% saved)

regimes1.1s (7%)

Accuracy

Total 0.3b remaining (61.3%)

Threshold costs 0.3b (61.3%)

Compiler

Compiled 9930 to 7818 computations (21.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	23
1	69	23

end1.0ms (0%)

Compiler: Compiled 15 to 14 computations (6.7% saved)

sample3.6s (23.8%)

Algorithm

1×

intervals

Results

936.0ms	10859×	body	128	nan
628.0ms	7352×	body	128	valid
461.0ms	5407×	body	128	invalid
87.0ms	284×	body	512	valid
65.0ms	113×	body	1024	valid
47.0ms	156×	body	512	invalid
45.0ms	251×	body	256	valid
23.0ms	42×	body	1024	invalid
19.0ms	110×	body	256	invalid

Compiler

Compiled 151 to 137 computations (9.3% saved)

Details

analyze1.0s (6.8%)

sample125.0ms (0.8%)

simplify57.0ms (0.4%)

prune9.0ms (0.1%)

localize16.0ms (0.1%)

rewrite244.0ms (1.6%)

series2.8s (18.3%)

simplify88.0ms (0.6%)

prune292.0ms (1.9%)

localize17.0ms (0.1%)

rewrite184.0ms (1.2%)

series2.2s (14.3%)

simplify88.0ms (0.6%)

prune210.0ms (1.4%)

localize7.0ms (0%)

rewrite73.0ms (0.5%)

series485.0ms (3.2%)

simplify97.0ms (0.6%)

prune83.0ms (0.5%)

localize20.0ms (0.1%)

rewrite185.0ms (1.2%)

series2.0s (12.9%)

simplify80.0ms (0.5%)

prune207.0ms (1.4%)

regimes1.1s (7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample3.6s (23.8%)

Profiling