Details

analyze1.2s (13.7%)

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)

sample84.0ms (1%)

Algorithm

1×

intervals

Results

30.0ms	50×	body	1024	valid
10.0ms	124×	body	128	valid
10.0ms	38×	body	512	valid
8.0ms	8×	body	2048	valid
6.0ms	36×	body	256	valid
3.0ms	63×	body	128	nan
1.0ms	6×	body	512	nan
1.0ms	22×	body	128	overflowed
0.0ms	4×	body	256	nan
0.0ms	1×	body	1024	nan

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify483.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (320.0ms)

Iter	Nodes	Cost
0	3705	20
1	3705	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)))

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_10208`
16×	`add-cube-cbrt_binary64_10219` `*-un-lft-identity_binary64_10187`
12×	`times-frac_binary64_10193`
11×	`pow1_binary64_10245`
9×	`add-log-exp_binary64_10223`
8×	`add-exp-log_binary64_10222` `add-cbrt-cube_binary64_10220`
5×	`log-pow_binary64_10273`
4×	`log-div_binary64_10271` `associate-/l*_binary64_10134`
3×	`associate-l_binary64_10130` `flip3-+_binary64_10190` `associate-r_binary64_10129` `log-prod_binary64_10270` `associate-/r*_binary64_10133` `flip-+_binary64_10161`
2×	`sum-log_binary64_10275` `div-sub_binary64_10192`
1×	`frac-2neg_binary64_10198` `associate-+l+_binary64_10122` `cbrt-undiv_binary64_10218` `sub-neg_binary64_10180` `rem-log-exp_binary64_10225` `associate-+l-_binary64_10124` `+-commutative_binary64_10119` `pow-prod-down_binary64_10255` `div-exp_binary64_10235` `*-commutative_binary64_10120` `unswap-sqr_binary64_10155` `prod-exp_binary64_10233` `div-inv_binary64_10184` `cbrt-unprod_binary64_10217` `clear-num_binary64_10186` `diff-log_binary64_10276`

Counts

4 → 79

Calls

4 calls:

11.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
10.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
5.0ms	(*.f64 y (exp.f64 z))

series609.0ms (7%)

Counts

4 → 12

Calls

4 calls:

398.0ms	(/.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))))
48.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
35.0ms	(*.f64 y (exp.f64 z))

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4941	1971
1	4941	1971

prune116.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 4.5b

Counts

92 → 7

Compiler

Compiled 2067 to 1105 computations (46.5% saved)

localize14.0ms (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_10223`
7×	`add-sqr-sqrt_binary64_10208` `add-cube-cbrt_binary64_10219` `*-un-lft-identity_binary64_10187`
6×	`cbrt-prod_binary64_10215`
5×	`add-exp-log_binary64_10222` `pow1_binary64_10245`
4×	`add-cbrt-cube_binary64_10220`
3×	`log-prod_binary64_10270`
2×	`pow1/3_binary64_10266` `log-div_binary64_10271` `flip3-+_binary64_10190` `sum-log_binary64_10275` `flip-+_binary64_10161`
1×	`associate-+l+_binary64_10122` `sub-neg_binary64_10180` `rem-log-exp_binary64_10225` `associate-+l-_binary64_10124` `+-commutative_binary64_10119` `log-pow_binary64_10273` `diff-log_binary64_10276`

Counts

4 → 50

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)

series555.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(log.f64 (+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y)))))
155.0ms	(cbrt.f64 y)
147.0ms	(cbrt.f64 y)
87.0ms	(+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y))))

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4929	895
1	4929	895

prune71.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Merged error: 4.5b

Counts

69 → 7

Compiler

Compiled 1530 to 755 computations (50.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (.f64 1/2 (.f64 z z)))
0.0b	(/.f64 (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z)))))) t)
1.0b	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
4.3b	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_10208`
16×	`add-cube-cbrt_binary64_10219` `*-un-lft-identity_binary64_10187`
12×	`times-frac_binary64_10193`
11×	`pow1_binary64_10245`
9×	`add-exp-log_binary64_10222`
8×	`add-cbrt-cube_binary64_10220`
6×	`add-log-exp_binary64_10223`
5×	`log-pow_binary64_10273`
4×	`log-div_binary64_10271` `flip3-+_binary64_10190` `associate-/l*_binary64_10134` `flip-+_binary64_10161`
3×	`associate-l_binary64_10130` `associate-r_binary64_10129` `log-prod_binary64_10270` `associate-/r*_binary64_10133`
2×	`associate-*r/_binary64_10131` `div-sub_binary64_10192`
1×	`frac-2neg_binary64_10198` `cbrt-undiv_binary64_10218` `rem-log-exp_binary64_10225` `+-commutative_binary64_10119` `pow-prod-down_binary64_10255` `sum-log_binary64_10275` `div-exp_binary64_10235` `*-commutative_binary64_10120` `unswap-sqr_binary64_10155` `distribute-rgt-in_binary64_10139` `prod-exp_binary64_10233` `div-inv_binary64_10184` `cbrt-unprod_binary64_10217` `distribute-lft-in_binary64_10138` `clear-num_binary64_10186`

Counts

4 → 80

Calls

4 calls:

6.0ms	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
6.0ms	(/.f64 (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z)))))) t)
4.0ms	(+.f64 z (.f64 1/2 (.f64 z z)))
3.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))

series634.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

317.0ms	(/.f64 (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z)))))) t)
131.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))
117.0ms	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
69.0ms	(+.f64 z (.f64 1/2 (.f64 z z)))

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4944	2283
1	4944	2283

prune116.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	91	8	99

Merged error: 4.5b

Counts

99 → 8

Compiler

Compiled 2423 to 1460 computations (39.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 t (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z)))))))
0.1b	(/.f64 1 (/.f64 t (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))))
1.0b	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
4.3b	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_10193`
67×	`add-sqr-sqrt_binary64_10208`
65×	`add-cube-cbrt_binary64_10219` `*-un-lft-identity_binary64_10187`
24×	`pow1_binary64_10245`
20×	`associate-/r*_binary64_10133` `add-exp-log_binary64_10222`
17×	`log-pow_binary64_10273`
13×	`add-cbrt-cube_binary64_10220`
8×	`div-exp_binary64_10235`
6×	`associate-/l*_binary64_10134` `div-inv_binary64_10184`
4×	`cbrt-undiv_binary64_10218` `add-log-exp_binary64_10223`
3×	`associate-l_binary64_10130` `associate-r_binary64_10129` `log-prod_binary64_10270`
2×	`frac-2neg_binary64_10198` `associate-*r/_binary64_10131` `log-div_binary64_10271` `flip3-+_binary64_10190` `rec-exp_binary64_10234` `1-exp_binary64_10228` `flip-+_binary64_10161` `clear-num_binary64_10186`
1×	`inv-pow_binary64_10269` `associate-/r/_binary64_10135` `pow-flip_binary64_10258` `rem-log-exp_binary64_10225` `pow-prod-down_binary64_10255` `*-commutative_binary64_10120` `unswap-sqr_binary64_10155` `distribute-rgt-in_binary64_10139` `prod-exp_binary64_10233` `cbrt-unprod_binary64_10217` `distribute-lft-in_binary64_10138`

Counts

4 → 155

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 t (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))))
7.0ms	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))
6.0ms	(/.f64 t (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z)))))))
3.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))

series1.0s (11.7%)

Counts

4 → 12

Calls

4 calls:

567.0ms	(/.f64 t (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z)))))))
226.0ms	(/.f64 1 (/.f64 t (log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))))
124.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))))
96.0ms	(.f64 y (+.f64 z (.f64 1/2 (*.f64 z z))))

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4966	5314
1	4966	5314

prune236.0ms (2.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	166	9	175

Merged error: 3.4b

Counts

175 → 9

Compiler

Compiled 4801 to 2955 computations (38.5% saved)

regimes166.0ms (1.9%)

Compiler: Compiled 1094 to 897 computations (18% saved)

bsearch1.0ms (0%)

Compiler: Compiled 2 to 5 computations (-150% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	109	65
1	109	65

end0.0ms (0%)

sample2.9s (32.9%)

Algorithm

1×

intervals

Results

885.0ms	1819×	body	1024	valid
366.0ms	1373×	body	512	valid
309.0ms	3735×	body	128	valid
298.0ms	295×	body	2048	valid
127.0ms	778×	body	256	valid
85.0ms	1535×	body	128	nan
53.0ms	172×	body	1024	nan
52.0ms	848×	body	128	overflowed
43.0ms	207×	body	512	nan
19.0ms	151×	body	256	nan
1.0ms	22×	body	128	invalid
1.0ms	2×	body	1024	invalid

Compiler

Compiled 289 to 224 computations (22.5% saved)

Details

analyze1.2s (13.7%)

sample84.0ms (1%)

simplify483.0ms (5.6%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite39.0ms (0.5%)

series609.0ms (7%)

simplify75.0ms (0.9%)

prune116.0ms (1.3%)

localize14.0ms (0.2%)

rewrite27.0ms (0.3%)

series555.0ms (6.4%)

simplify98.0ms (1.1%)

prune71.0ms (0.8%)

localize12.0ms (0.1%)

rewrite26.0ms (0.3%)

series634.0ms (7.3%)

simplify82.0ms (0.9%)

prune116.0ms (1.3%)

localize13.0ms (0.1%)

rewrite41.0ms (0.5%)

series1.0s (11.7%)

simplify94.0ms (1.1%)

prune236.0ms (2.7%)

regimes166.0ms (1.9%)

bsearch1.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.9s (32.9%)

Profiling