Details

analyze1.1s (8.1%)

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)

sample116.0ms (0.9%)

Algorithm

1×

intervals

Results

29.0ms	287×	body	128	nan
23.0ms	232×	body	128	valid
16.0ms	155×	body	128	invalid
7.0ms	9×	body	1024	valid
4.0ms	9×	body	512	valid
1.0ms	6×	body	256	valid
1.0ms	4×	body	256	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify226.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5045	26

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.8b

Counts

2 → 1

Compiler

Compiled 35 to 33 computations (5.7% saved)

localize15.0ms (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))
0.2b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
5.6b	(log.f64 (-.f64 1 z))

rewrite53.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2146`
20×	`*-un-lft-identity_binary64_2124`
14×	`add-cube-cbrt_binary64_2159`
12×	`log-prod_binary64_2210`
10×	`pow1_binary64_2185` `associate-r_binary64_2064`
8×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
7×	`add-log-exp_binary64_2163` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
6×	`cancel-sign-sub-inv_binary64_2090` `associate-l_binary64_2065` `associate--l+_binary64_2061`
3×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `exp-prod_binary64_2176`
2×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `log-pow_binary64_2213` `-commutative_binary64_2055` `prod-exp_binary64_2173` `rem-exp-log_binary64_2164` `sub-neg_binary64_2117` `associate-r/_binary64_2066` `log-div_binary64_2211` `exp-sum_binary64_2170` `cbrt-unprod_binary64_2157`
1×	`rem-log-exp_binary64_2165` `sum-log_binary64_2215`

Counts

4 → 86

Calls

4 calls:

19.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
11.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
10.0ms	(*.f64 y (-.f64 (log.f64 z) t))
5.0ms	(log.f64 (-.f64 1 z))

series1.2s (8.6%)

Counts

4 → 12

Calls

4 calls:

589.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
406.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
139.0ms	(*.f64 y (-.f64 (log.f64 z) t))
40.0ms	(log.f64 (-.f64 1 z))

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5162	1746

prune149.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Merged error: 0.1b

Counts

99 → 3

Compiler

Compiled 2394 to 1149 computations (52% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.2b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2))) b)))))
0.3b	(*.f64 z 1/3)

rewrite85.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2146`
18×	`*-un-lft-identity_binary64_2124`
16×	`pow1_binary64_2185` `associate-r_binary64_2064`
15×	`add-cube-cbrt_binary64_2159` `add-cbrt-cube_binary64_2160`
14×	`add-exp-log_binary64_2162`
10×	`associate-l_binary64_2065`
8×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
6×	`pow-prod-down_binary64_2195` `cancel-sign-sub-inv_binary64_2090` `log-prod_binary64_2210` `prod-exp_binary64_2173` `associate--l+_binary64_2061` `cbrt-unprod_binary64_2157`
4×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `add-log-exp_binary64_2163` `associate-r/_binary64_2066`
2×	`distribute-lft-out--_binary64_2076` `sub-neg_binary64_2117`
1×	`flip--_binary64_2099` `difference-of-squares_binary64_2093` `flip3--_binary64_2128` `log-pow_binary64_2213` `flip3-+_binary64_2127` `flip-+_binary64_2098` `exp-sum_binary64_2170`

Counts

4 → 97

Calls

4 calls:

22.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
18.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2))) b)))))
16.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(*.f64 z 1/3)

series980.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

699.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (.f64 z 1/3) 1/2))) b)))))
130.0ms	(*.f64 y (-.f64 (log.f64 z) t))
114.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
37.0ms	(*.f64 z 1/3)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5049	1882

prune166.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	106	6	112

Merged error: 0.1b

Counts

112 → 6

Compiler

Compiled 3560 to 1738 computations (51.2% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b)))))
0.2b	(sqrt.f64 (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b)))))
0.3b	(*.f64 z 1/3)
0.3b	(*.f64 z 1/3)

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_2146`
12×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`pow1_binary64_2185`
8×	`sqrt-pow1_binary64_2142` `sqrt-prod_binary64_2140` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`associate-l_binary64_2065` `exp-prod_binary64_2176` `associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163`
2×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `rem-sqrt-square_binary64_2137` `prod-exp_binary64_2173` `pow1/2_binary64_2204` `exp-sum_binary64_2170` `cbrt-unprod_binary64_2157`

Counts

4 → 70

Calls

4 calls:

14.0ms	(sqrt.f64 (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b)))))
8.0ms	(sqrt.f64 (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b)))))
5.0ms	(*.f64 z 1/3)
5.0ms	(*.f64 z 1/3)

series1.9s (13.7%)

Counts

4 → 12

Calls

4 calls:

934.0ms	(sqrt.f64 (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b)))))
853.0ms	(sqrt.f64 (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b)))))
45.0ms	(*.f64 z 1/3)
34.0ms	(*.f64 z 1/3)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5440	1770

prune250.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

Compiler

Compiled 4929 to 2626 computations (46.7% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.2b	(sqrt.f64 (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b)))))
0.3b	(*.f64 z 1/3)
0.3b	(*.f64 z 1/3)

rewrite64.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_2146`
19×	`*-un-lft-identity_binary64_2124`
16×	`add-cube-cbrt_binary64_2159`
12×	`pow1_binary64_2185` `associate-r_binary64_2064`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`associate-l_binary64_2065`
7×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
6×	`cancel-sign-sub-inv_binary64_2090` `log-prod_binary64_2210` `associate--l+_binary64_2061`
4×	`sqrt-pow1_binary64_2142` `sqrt-prod_binary64_2140` `add-log-exp_binary64_2163`
3×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `exp-prod_binary64_2176` `cbrt-unprod_binary64_2157`
2×	`distribute-lft-out--_binary64_2076` `sub-neg_binary64_2117` `associate-*r/_binary64_2066`
1×	`flip--_binary64_2099` `difference-of-squares_binary64_2093` `flip3--_binary64_2128` `log-pow_binary64_2213` `rem-sqrt-square_binary64_2137` `pow1/2_binary64_2204` `exp-sum_binary64_2170`

Counts

4 → 90

Calls

4 calls:

14.0ms	(sqrt.f64 (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b)))))
10.0ms	(*.f64 y (-.f64 (log.f64 z) t))
9.0ms	(*.f64 z 1/3)
8.0ms	(*.f64 z 1/3)

series991.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

812.0ms	(sqrt.f64 (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b)))))
128.0ms	(*.f64 y (-.f64 (log.f64 z) t))
26.0ms	(*.f64 z 1/3)
24.0ms	(*.f64 z 1/3)

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4971	1521
1	4971	1521

prune343.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	102	4	106

Merged error: 0.0b

Counts

106 → 4

Compiler

Compiled 6152 to 3329 computations (45.9% saved)

regimes564.0ms (4.2%)

Compiler: Compiled 6575 to 5001 computations (23.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	177	159
1	177	159

end0.0ms (0%)

sample5.0s (36.5%)

Algorithm

1×

intervals

Results

1.1s	10405×	body	128	nan
846.0ms	7313×	body	128	valid
579.0ms	5150×	body	128	invalid
123.0ms	302×	body	512	valid
94.0ms	117×	body	1024	valid
67.0ms	268×	body	256	valid
50.0ms	112×	body	512	invalid
41.0ms	54×	body	1024	invalid
28.0ms	114×	body	256	invalid

Compiler

Compiled 825 to 609 computations (26.2% saved)

Details

analyze1.1s (8.1%)

sample116.0ms (0.9%)

simplify226.0ms (1.7%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite53.0ms (0.4%)

series1.2s (8.6%)

simplify64.0ms (0.5%)

prune149.0ms (1.1%)

localize20.0ms (0.1%)

rewrite85.0ms (0.6%)

series980.0ms (7.2%)

simplify89.0ms (0.7%)

prune166.0ms (1.2%)

localize34.0ms (0.3%)

rewrite43.0ms (0.3%)

series1.9s (13.7%)

simplify87.0ms (0.6%)

prune250.0ms (1.8%)

localize43.0ms (0.3%)

rewrite64.0ms (0.5%)

series991.0ms (7.3%)

simplify95.0ms (0.7%)

prune343.0ms (2.5%)

regimes564.0ms (4.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.0s (36.5%)

Profiling