Details

analyze889.0ms (9.1%)

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)

sample105.0ms (1.1%)

Algorithm

1×

intervals

Results

27.0ms	312×	body	128	nan
23.0ms	227×	body	128	valid
13.0ms	153×	body	128	invalid
4.0ms	13×	body	512	valid
3.0ms	13×	body	256	valid
2.0ms	3×	body	1024	valid
1.0ms	3×	body	512	invalid
1.0ms	5×	body	256	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify205.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4995	26
1	4995	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: 3.3b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize15.0ms (0.2%)

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))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
6.4b	(log.f64 (-.f64 1 z))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`log-prod_binary64_2182`
27×	`add-sqr-sqrt_binary64_2120`
26×	`*-un-lft-identity_binary64_2099`
24×	`associate--l+_binary64_2038`
15×	`distribute-rgt-in_binary64_2051` `distribute-lft-in_binary64_2050`
14×	`add-cube-cbrt_binary64_2131` `associate-+r+_binary64_2033`
10×	`associate-*r/_binary64_2043`
9×	`add-log-exp_binary64_2135`
8×	`associate-+l+_binary64_2034` `pow1_binary64_2157`
7×	`difference-of-squares_binary64_2068` `add-exp-log_binary64_2134`
6×	`sub-neg_binary64_2092` `add-cbrt-cube_binary64_2132` `flip3--_binary64_2103` `flip--_binary64_2074` `associate-r_binary64_2041`
5×	`distribute-lft-out--_binary64_2053`
4×	`frac-add_binary64_2107`
3×	`associate-l_binary64_2042` `exp-prod_binary64_2148`
2×	`rem-exp-log_binary64_2136` `log-pow_binary64_2185` `log-div_binary64_2183` `sum-log_binary64_2187`
1×	`flip3-+_binary64_2102` `*-commutative_binary64_2032` `prod-exp_binary64_2145` `+-commutative_binary64_2031` `pow-prod-down_binary64_2167` `rem-log-exp_binary64_2137` `exp-sum_binary64_2142` `unswap-sqr_binary64_2067` `flip-+_binary64_2073` `cbrt-unprod_binary64_2129`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+.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))

series750.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

334.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
279.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
114.0ms	(*.f64 y (-.f64 (log.f64 z) t))
23.0ms	(log.f64 (-.f64 1 z))

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4819	2358
1	4819	2358

prune133.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	109	3	112

Merged error: 0.3b

Counts

112 → 3

Compiler

Compiled 2940 to 1472 computations (49.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(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))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.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)))
0.4b	(*.f64 z 1/3)

rewrite55.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_2120`
16×	`*-un-lft-identity_binary64_2099`
14×	`associate--l+_binary64_2038`
13×	`add-cube-cbrt_binary64_2131`
12×	`log-prod_binary64_2182`
10×	`associate-*r/_binary64_2043` `distribute-rgt-in_binary64_2051` `distribute-lft-in_binary64_2050`
9×	`pow1_binary64_2157` `add-log-exp_binary64_2135` `associate-r_binary64_2041`
8×	`sub-neg_binary64_2092` `associate-+l+_binary64_2034` `add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
6×	`associate-l_binary64_2042`
5×	`flip3--_binary64_2103` `flip--_binary64_2074`
4×	`associate-+r+_binary64_2033` `frac-add_binary64_2107`
3×	`exp-prod_binary64_2148`
2×	`rem-exp-log_binary64_2136` `*-commutative_binary64_2032` `sum-log_binary64_2187` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `unswap-sqr_binary64_2067` `distribute-lft-out--_binary64_2053` `cbrt-unprod_binary64_2129`
1×	`difference-of-squares_binary64_2068` `flip3-+_binary64_2102` `log-pow_binary64_2185` `+-commutative_binary64_2031` `exp-sum_binary64_2142` `flip-+_binary64_2073`

Counts

4 → 89

Calls

4 calls:

17.0ms	(+.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)))
14.0ms	(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	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(*.f64 z 1/3)

series902.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

425.0ms	(+.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)))
359.0ms	(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))))
98.0ms	(*.f64 y (-.f64 (log.f64 z) t))
20.0ms	(*.f64 z 1/3)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5091	2621

prune143.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

Compiler

Compiled 3582 to 1793 computations (49.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 a) (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (.f64 z 1/3) 1/2)))) b))) (pow.f64 (/.f64 z (exp.f64 t)) y))))
0.4b	(*.f64 z 1/3)
0.5b	(pow.f64 (/.f64 z (exp.f64 t)) y)
1.0b	(pow.f64 (exp.f64 a) (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_2120`
23×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
22×	`unpow-prod-down_binary64_2175`
14×	`log-prod_binary64_2182`
10×	`pow1_binary64_2157` `add-exp-log_binary64_2134`
9×	`times-frac_binary64_2105`
8×	`distribute-rgt-in_binary64_2051` `distribute-lft-in_binary64_2050` `add-cbrt-cube_binary64_2132`
7×	`associate-r_binary64_2041`
6×	`associate-l_binary64_2042` `pow-unpow_binary64_2173`
5×	`pow-pow_binary64_2168`
4×	`sqr-pow_binary64_2071` `add-log-exp_binary64_2135`
3×	`unpow-prod-up_binary64_2174` `sub-neg_binary64_2092` `pow-exp_binary64_2164` `exp-prod_binary64_2148`
2×	`associate--l+_binary64_2038` `*-commutative_binary64_2032` `pow-to-exp_binary64_2165` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `unswap-sqr_binary64_2067` `cbrt-unprod_binary64_2129`
1×	`log-pow_binary64_2185` `div-exp_binary64_2147` `pow-sub_binary64_2172` `div-inv_binary64_2096`

Counts

4 → 103

Calls

4 calls:

8.0ms	(.f64 x (log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 a) (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (.f64 z 1/3) 1/2)))) b))) (pow.f64 (/.f64 z (exp.f64 t)) y))))
8.0ms	(pow.f64 (exp.f64 a) (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b))
6.0ms	(pow.f64 (/.f64 z (exp.f64 t)) y)
4.0ms	(*.f64 z 1/3)

series1.6s (16.7%)

Counts

4 → 12

Calls

4 calls:

1.2s	(.f64 x (log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 a) (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (.f64 z 1/3) 1/2)))) b))) (pow.f64 (/.f64 z (exp.f64 t)) y))))
190.0ms	(pow.f64 (exp.f64 a) (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b))
174.0ms	(pow.f64 (/.f64 z (exp.f64 t)) y)
24.0ms	(*.f64 z 1/3)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4939	3322
1	4939	3322

prune187.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	114	5	119

Merged error: 0.0b

Counts

119 → 5

Compiler

Compiled 4168 to 2261 computations (45.8% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.0b	(pow.f64 (exp.f64 a) (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
9×	`cbrt-prod_binary64_2127`
5×	`pow1_binary64_2157`
4×	`add-cbrt-cube_binary64_2132` `pow-pow_binary64_2168` `add-log-exp_binary64_2135` `add-exp-log_binary64_2134`
3×	`unpow-prod-up_binary64_2174` `sub-neg_binary64_2092` `pow1/3_binary64_2178` `unpow-prod-down_binary64_2175` `pow-unpow_binary64_2173` `exp-prod_binary64_2148`
2×	`associate--l+_binary64_2038`
1×	`sqr-pow_binary64_2071` `distribute-rgt-in_binary64_2051` `pow-exp_binary64_2164` `distribute-lft-in_binary64_2050` `pow-to-exp_binary64_2165` `pow-sub_binary64_2172`

Counts

4 → 57

Calls

4 calls:

8.0ms	(pow.f64 (exp.f64 a) (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series634.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(pow.f64 (exp.f64 a) (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b))
153.0ms	(cbrt.f64 x)
146.0ms	(cbrt.f64 x)
144.0ms	(cbrt.f64 x)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5110	1035

prune96.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

Compiler

Compiled 2536 to 1141 computations (55% saved)

regimes112.0ms (1.2%)

Compiler: Compiled 1092 to 900 computations (17.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	38
1	140	38

end0.0ms (0%)

sample3.4s (35.3%)

Algorithm

1×

intervals

Results

886.0ms	10251×	body	128	nan
657.0ms	7329×	body	128	valid
481.0ms	5253×	body	128	invalid
107.0ms	326×	body	512	valid
73.0ms	115×	body	1024	valid
45.0ms	230×	body	256	valid
44.0ms	135×	body	512	invalid
29.0ms	48×	body	1024	invalid
23.0ms	122×	body	256	invalid

Compiler

Compiled 224 to 183 computations (18.3% saved)

Details

analyze889.0ms (9.1%)

sample105.0ms (1.1%)

simplify205.0ms (2.1%)

prune5.0ms (0%)

localize15.0ms (0.2%)

rewrite48.0ms (0.5%)

series750.0ms (7.7%)

simplify67.0ms (0.7%)

prune133.0ms (1.4%)

localize21.0ms (0.2%)

rewrite55.0ms (0.6%)

series902.0ms (9.3%)

simplify68.0ms (0.7%)

prune143.0ms (1.5%)

localize22.0ms (0.2%)

rewrite39.0ms (0.4%)

series1.6s (16.7%)

simplify71.0ms (0.7%)

prune187.0ms (1.9%)

localize26.0ms (0.3%)

rewrite18.0ms (0.2%)

series634.0ms (6.5%)

simplify55.0ms (0.6%)

prune96.0ms (1%)

regimes112.0ms (1.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.4s (35.3%)

Profiling