Details

analyze587.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5270	72
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid
0.0ms	3×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify353.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (347.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.1b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite102.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_10990`
9×	`pow1_binary64_11051` `add-sqr-sqrt_binary64_11012`
8×	`add-log-exp_binary64_11029` `distribute-lft-out_binary64_10941`
7×	`add-cube-cbrt_binary64_11025` `associate-r_binary64_10930`
5×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `associate-+r+_binary64_10922`
4×	`log-pow_binary64_11079` `distribute-lft-out--_binary64_10942` `associate-+l+_binary64_10923`
3×	`flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-l_binary64_10931` `sum-log_binary64_11081` `cancel-sign-sub-inv_binary64_10956` `log-prod_binary64_11076`
2×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `associate-*r/_binary64_10932` `+-commutative_binary64_10920`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `*-commutative_binary64_10921` `diff-log_binary64_11082` `associate-+l-_binary64_10925` `sub-neg_binary64_10983`

Counts

3 → 63

Calls

3 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 1231 to 755 computations (38.7% saved)

series497.0ms (7.5%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

279.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
139.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
57.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5370	1270

prune93.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Error

0.0b

Counts

94 → 7

Compiler

Compiled 1547 to 946 computations (38.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
0.0b	(-.f64 y (*.f64 z y))
0.2b	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
0.3b	(*.f64 (log.f64 z) y)

rewrite76.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_11029`
8×	`add-sqr-sqrt_binary64_11012`
7×	`pow1_binary64_11051` `*-un-lft-identity_binary64_10990` `sum-log_binary64_11081`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `add-cube-cbrt_binary64_11025`
4×	`associate-l_binary64_10931`
3×	`associate-r_binary64_10930` `diff-log_binary64_11082`
2×	`flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-+l-_binary64_10925` `sub-neg_binary64_10983` `associate-+l+_binary64_10923` `cancel-sign-sub-inv_binary64_10956` `+-commutative_binary64_10920`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `log-pow_binary64_11079` `*-commutative_binary64_10921` `flip3--_binary64_10994` `flip--_binary64_10965` `distribute-rgt-out--_binary64_10944` `associate-+r-_binary64_10924` `associate-+r+_binary64_10922`

Counts

4 → 62

Calls

4 calls:

8.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
6.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
4.0ms	(*.f64 (log.f64 z) y)
3.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1363 to 422 computations (69% saved)

series641.0ms (9.7%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

282.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
149.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
125.0ms	(*.f64 (log.f64 z) y)
59.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1371 to 948 computations (30.9% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5902	1315

prune87.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Error

0.0b

Counts

109 → 6

Compiler

Compiled 1743 to 798 computations (54.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (log.f64 z))
0.0b	(+.f64 (.f64 x 1/2) (-.f64 y (.f64 y (-.f64 z (log.f64 z)))))
0.2b	(*.f64 y (-.f64 z (log.f64 z)))
0.2b	(-.f64 y (*.f64 y (-.f64 z (log.f64 z))))

rewrite105.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`cancel-sign-sub-inv_binary64_10956`
18×	`add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
13×	`pow1_binary64_11051` `associate--r+_binary64_10926`
12×	`add-log-exp_binary64_11029` `add-cube-cbrt_binary64_11025`
10×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
7×	`sub-neg_binary64_10983` `log-pow_binary64_11079`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `associate-r_binary64_10930`
4×	`distribute-lft-out--_binary64_10942`
3×	`diff-log_binary64_11082` `flip3--_binary64_10994` `flip--_binary64_10965` `associate-l_binary64_10931` `log-prod_binary64_11076`
2×	`associate-*r/_binary64_10932` `difference-of-squares_binary64_10959` `sum-log_binary64_11081` `associate-+r+_binary64_10922`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `*-commutative_binary64_10921` `flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-+r-_binary64_10924` `+-commutative_binary64_10920`

Counts

4 → 91

Calls

4 calls:

8.0ms	(*.f64 y (-.f64 z (log.f64 z)))
6.0ms	(+.f64 (.f64 x 1/2) (-.f64 y (.f64 y (-.f64 z (log.f64 z)))))
5.0ms	(-.f64 z (log.f64 z))
5.0ms	(-.f64 y (*.f64 y (-.f64 z (log.f64 z))))

Compiler

Compiled 1772 to 650 computations (63.3% saved)

series659.0ms (9.9%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

296.0ms	(+.f64 (.f64 x 1/2) (-.f64 y (.f64 y (-.f64 z (log.f64 z)))))
157.0ms	(-.f64 y (*.f64 y (-.f64 z (log.f64 z))))
133.0ms	(*.f64 y (-.f64 z (log.f64 z)))
51.0ms	(-.f64 z (log.f64 z))

Compiler

Compiled 1192 to 844 computations (29.2% saved)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4938	1591
1	4938	1591

prune99.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	129	6	135

Error

0.0b

Counts

135 → 6

Compiler

Compiled 2099 to 938 computations (55.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite114.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64_10990`
12×	`add-sqr-sqrt_binary64_11012`
10×	`add-log-exp_binary64_11029` `add-cube-cbrt_binary64_11025`
9×	`cbrt-prod_binary64_11021`
8×	`pow1_binary64_11051`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `log-prod_binary64_11076` `associate-+r+_binary64_10922`
5×	`sum-log_binary64_11081` `associate-r_binary64_10930`
4×	`distribute-lft-out_binary64_10941`
3×	`associate-l_binary64_10931`
2×	`pow1/3_binary64_11072` `flip3-+_binary64_10993` `flip-+_binary64_10964` `log-pow_binary64_11079` `associate-+l-_binary64_10925` `associate-*r/_binary64_10932`
1×	`diff-log_binary64_11082` `associate-+l+_binary64_10923` `+-commutative_binary64_10920` `pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `*-commutative_binary64_10921`

Counts

4 → 69

Calls

4 calls:

12.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
11.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1905 to 1024 computations (46.2% saved)

series564.0ms (8.5%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

275.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
115.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
78.0ms	(cbrt.f64 z)
77.0ms	(cbrt.f64 z)

Compiler

Compiled 922 to 782 computations (15.2% saved)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5010	1012

prune86.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Error

0.0b

Counts

94 → 6

Compiler

Compiled 1749 to 1005 computations (42.5% saved)

regimes650.0ms (9.8%)

Accuracy

Total 0.1b remaining (96.8%)

Threshold costs 0.1b (96.8%)

Compiler

Compiled 6774 to 5436 computations (19.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	27
1	29	27

end0.0ms (0%)

sample1.6s (23.7%)

Algorithm

1×

intervals

Results

383.0ms	8000×	body	128	valid
14.0ms	301×	body	128	invalid
3.0ms	79×	body	128	nan

Compiler

Compiled 950 to 763 computations (19.7% saved)

Details

analyze587.0ms (8.8%)

sample23.0ms (0.4%)

simplify353.0ms (5.3%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite102.0ms (1.5%)

series497.0ms (7.5%)

simplify71.0ms (1.1%)

prune93.0ms (1.4%)

localize11.0ms (0.2%)

rewrite76.0ms (1.1%)

series641.0ms (9.7%)

simplify76.0ms (1.1%)

prune87.0ms (1.3%)

localize9.0ms (0.1%)

rewrite105.0ms (1.6%)

series659.0ms (9.9%)

simplify74.0ms (1.1%)

prune99.0ms (1.5%)

localize14.0ms (0.2%)

rewrite114.0ms (1.7%)

series564.0ms (8.5%)

simplify57.0ms (0.9%)

prune86.0ms (1.3%)

regimes650.0ms (9.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (23.7%)

Profiling