Details

analyze1.1s (14%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample83.0ms (1%)

Algorithm

1×

intervals

Results

26.0ms	50×	body	1024	valid
10.0ms	124×	body	128	valid
9.0ms	38×	body	512	valid
8.0ms	8×	body	2048	valid
5.0ms	36×	body	256	valid
5.0ms	4×	body	256	nan
3.0ms	63×	body	128	nan
1.0ms	22×	body	128	overflowed
1.0ms	6×	body	512	nan
0.0ms	1×	body	1024	nan

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify498.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (330.0ms)

Iter	Nodes	Cost
0	3706	20
1	3706	20

prune3.0ms (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: 25.4b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.8b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
2.2b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_11109`
17×	`add-cube-cbrt_binary64_11122` `*-un-lft-identity_binary64_11087`
12×	`times-frac_binary64_11093`
11×	`pow1_binary64_11148`
9×	`add-log-exp_binary64_11126`
8×	`add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125`
5×	`log-pow_binary64_11176`
4×	`log-div_binary64_11174` `associate-/l*_binary64_11032` `associate-+l+_binary64_11020`
3×	`log-prod_binary64_11173` `associate-l_binary64_11028` `flip-+_binary64_11061` `associate-/r_binary64_11031` `associate-r*_binary64_11027` `flip3-+_binary64_11090` `cancel-sign-sub-inv_binary64_11053`
2×	`sum-log_binary64_11178` `div-sub_binary64_11092`
1×	`diff-log_binary64_11179` `pow-prod-down_binary64_11158` `rem-log-exp_binary64_11128` `clear-num_binary64_11086` `div-exp_binary64_11138` `cbrt-unprod_binary64_11120` `sub-neg_binary64_11080` `+-commutative_binary64_11017` `frac-2neg_binary64_11098` `div-inv_binary64_11084` `unswap-sqr_binary64_11055` `prod-exp_binary64_11136` `cbrt-undiv_binary64_11121` `*-commutative_binary64_11018` `associate-+l-_binary64_11022`

Counts

4 → 82

Calls

4 calls:

9.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
8.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
7.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
6.0ms	(*.f64 y (exp.f64 z))

series618.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

401.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
128.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
50.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
39.0ms	(*.f64 y (exp.f64 z))

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4917	1998
1	4917	1998

prune273.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	86	8	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Merged error: 4.5b

Counts

95 → 8

Compiler

Compiled 4882 to 3272 computations (33% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z))))) t)
1.6b	(log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z)))))
2.6b	(-.f64 y (*.f64 y (exp.f64 z)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_11109`
19×	`*-un-lft-identity_binary64_11087`
16×	`add-cube-cbrt_binary64_11122`
12×	`times-frac_binary64_11093`
11×	`pow1_binary64_11148`
8×	`add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125`
6×	`log-prod_binary64_11173` `add-log-exp_binary64_11126`
5×	`log-pow_binary64_11176`
4×	`log-div_binary64_11174` `associate-/l*_binary64_11032`
3×	`flip--_binary64_11062` `associate-l_binary64_11028` `associate-/r_binary64_11031` `associate-r*_binary64_11027` `flip3--_binary64_11091`
2×	`difference-of-squares_binary64_11056` `div-sub_binary64_11092`
1×	`diff-log_binary64_11179` `distribute-lft-out--_binary64_11039` `pow-prod-down_binary64_11158` `rem-log-exp_binary64_11128` `clear-num_binary64_11086` `div-exp_binary64_11138` `cbrt-unprod_binary64_11120` `sub-neg_binary64_11080` `frac-2neg_binary64_11098` `div-inv_binary64_11084` `unswap-sqr_binary64_11055` `prod-exp_binary64_11136` `cbrt-undiv_binary64_11121` `*-commutative_binary64_11018` `cancel-sign-sub-inv_binary64_11053`

Counts

4 → 80

Calls

4 calls:

8.0ms	(/.f64 (log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z))))) t)
6.0ms	(*.f64 y (exp.f64 z))
6.0ms	(log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z)))))
3.0ms	(-.f64 y (*.f64 y (exp.f64 z)))

series617.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

393.0ms	(/.f64 (log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z))))) t)
133.0ms	(log.f64 (-.f64 1 (-.f64 y (*.f64 y (exp.f64 z)))))
53.0ms	(-.f64 y (*.f64 y (exp.f64 z)))
39.0ms	(*.f64 y (exp.f64 z))

simplify116.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4903	1949
1	4903	1949

prune111.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 4.5b

Counts

100 → 8

Compiler

Compiled 2265 to 1167 computations (48.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.8b	(log.f64 (+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y)))))
14.9b	(+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y))))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_11126`
8×	`add-cube-cbrt_binary64_11122` `add-sqr-sqrt_binary64_11109` `*-un-lft-identity_binary64_11087`
6×	`cbrt-prod_binary64_11118`
5×	`pow1_binary64_11148` `add-exp-log_binary64_11125`
4×	`add-cbrt-cube_binary64_11123` `associate-+l+_binary64_11020`
3×	`log-prod_binary64_11173` `cancel-sign-sub-inv_binary64_11053`
2×	`log-div_binary64_11174` `flip-+_binary64_11061` `sum-log_binary64_11178` `flip3-+_binary64_11090` `pow1/3_binary64_11169`
1×	`diff-log_binary64_11179` `rem-log-exp_binary64_11128` `sub-neg_binary64_11080` `+-commutative_binary64_11017` `log-pow_binary64_11176` `associate-+l-_binary64_11022`

Counts

4 → 53

Calls

4 calls:

10.0ms	(+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y))))
9.0ms	(log.f64 (+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y)))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series568.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(log.f64 (+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y)))))
162.0ms	(cbrt.f64 y)
150.0ms	(cbrt.f64 y)
86.0ms	(+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y))))

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5357	922

prune84.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	65	8	73

Merged error: 3.9b

Counts

73 → 8

Compiler

Compiled 1785 to 938 computations (47.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.9b	(.f64 (-.f64 1 y) (.f64 y (*.f64 z z)))
3.0b	(+.f64 (.f64 y z) (.f64 1/2 (.f64 (-.f64 1 y) (.f64 y (*.f64 z z)))))
5.8b	(.f64 y (.f64 z z))
6.2b	(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (.f64 (-.f64 1 y) (.f64 y (*.f64 z z))))) t)

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125`
18×	`add-sqr-sqrt_binary64_11109` `pow1_binary64_11148`
17×	`*-un-lft-identity_binary64_11087`
14×	`add-cube-cbrt_binary64_11122`
9×	`pow-prod-down_binary64_11158` `times-frac_binary64_11093` `associate-l_binary64_11028` `cbrt-unprod_binary64_11120` `prod-exp_binary64_11136`
6×	`add-log-exp_binary64_11126`
3×	`associate-/r_binary64_11031` `associate-/l_binary64_11032`
2×	`difference-of-squares_binary64_11056` `associate-/l/_binary64_11034` `flip-+_binary64_11061` `associate-l/_binary64_11030` `associate-r_binary64_11027` `flip3-+_binary64_11090` `-commutative_binary64_11018`
1×	`flip--_binary64_11062` `distribute-lft-out--_binary64_11039` `clear-num_binary64_11086` `div-exp_binary64_11138` `+-commutative_binary64_11017` `frac-2neg_binary64_11098` `sum-log_binary64_11178` `div-inv_binary64_11084` `unswap-sqr_binary64_11055` `flip3--_binary64_11091` `cbrt-undiv_binary64_11121`

Counts

4 → 85

Calls

4 calls:

12.0ms	(.f64 (-.f64 1 y) (.f64 y (*.f64 z z)))
11.0ms	(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (.f64 (-.f64 1 y) (.f64 y (*.f64 z z))))) t)
6.0ms	(.f64 y (.f64 z z))
6.0ms	(+.f64 (.f64 y z) (.f64 1/2 (.f64 (-.f64 1 y) (.f64 y (*.f64 z z)))))

series374.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

167.0ms	(/.f64 (+.f64 (.f64 y z) (.f64 1/2 (.f64 (-.f64 1 y) (.f64 y (*.f64 z z))))) t)
87.0ms	(+.f64 (.f64 y z) (.f64 1/2 (.f64 (-.f64 1 y) (.f64 y (*.f64 z z)))))
79.0ms	(.f64 (-.f64 1 y) (.f64 y (*.f64 z z)))
42.0ms	(.f64 y (.f64 z z))

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4943	2043
1	4943	2043

prune223.0ms (2.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	94	11	105

Merged error: 3.5b

Counts

105 → 11

Compiler

Compiled 4438 to 2762 computations (37.8% saved)

regimes162.0ms (2%)

Compiler: Compiled 1377 to 1114 computations (19.1% saved)

bsearch54.0ms (0.7%)

Steps

Iters	Range		Point
9	-6952.742705903937	-0.0004282352002966892	-0.0035490673696887158

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	381	63
1	381	63

end0.0ms (0%)

sample2.8s (34.6%)

Algorithm

1×

intervals

Results

856.0ms	1819×	body	1024	valid
364.0ms	1373×	body	512	valid
301.0ms	3735×	body	128	valid
296.0ms	295×	body	2048	valid
122.0ms	778×	body	256	valid
78.0ms	1535×	body	128	nan
53.0ms	172×	body	1024	nan
50.0ms	848×	body	128	overflowed
40.0ms	207×	body	512	nan
20.0ms	151×	body	256	nan
1.0ms	22×	body	128	invalid
1.0ms	2×	body	1024	invalid

Compiler

Compiled 346 to 268 computations (22.5% saved)

Details

analyze1.1s (14%)

sample83.0ms (1%)

simplify498.0ms (6.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite37.0ms (0.5%)

series618.0ms (7.5%)

simplify79.0ms (1%)

prune273.0ms (3.3%)

localize10.0ms (0.1%)

rewrite29.0ms (0.4%)

series617.0ms (7.5%)

simplify116.0ms (1.4%)

prune111.0ms (1.4%)

localize15.0ms (0.2%)

rewrite27.0ms (0.3%)

series568.0ms (6.9%)

simplify69.0ms (0.8%)

prune84.0ms (1%)

localize13.0ms (0.2%)

rewrite44.0ms (0.5%)

series374.0ms (4.6%)

simplify84.0ms (1%)

prune223.0ms (2.7%)

regimes162.0ms (2%)

bsearch54.0ms (0.7%)

simplify13.0ms (0.2%)

end0.0ms (0%)

sample2.8s (34.6%)

Profiling