Details

analyze188.0ms (2.7%)

Algorithm

1×

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 (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid
0.0ms	1×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify444.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (354.0ms)

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)

localize9.0ms (0.1%)

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))))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite108.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_11331`
9×	`pow1_binary64_11392` `add-sqr-sqrt_binary64_11353`
8×	`add-log-exp_binary64_11370` `distribute-lft-out_binary64_11282`
7×	`add-cube-cbrt_binary64_11366` `associate-r_binary64_11271`
5×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `associate-+r+_binary64_11263`
4×	`log-pow_binary64_11420` `distribute-lft-out--_binary64_11283` `associate-+l+_binary64_11264`
3×	`flip3-+_binary64_11334` `flip-+_binary64_11305` `associate-l_binary64_11272` `sum-log_binary64_11422` `cancel-sign-sub-inv_binary64_11297` `log-prod_binary64_11417`
2×	`distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280` `associate-*r/_binary64_11273` `+-commutative_binary64_11261`
1×	`pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299` `*-commutative_binary64_11262` `diff-log_binary64_11423` `associate-+l-_binary64_11266` `sub-neg_binary64_11324`

Counts

3 → 63

Calls

3 calls:

16.0ms	(*.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)

series486.0ms (6.9%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

281.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
134.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
48.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5370	1270

prune95.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	8	94

Error

0.0b

Counts

94 → 8

Compiler

Compiled 1557 to 953 computations (38.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite80.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_11370`
8×	`add-sqr-sqrt_binary64_11353`
7×	`pow1_binary64_11392` `*-un-lft-identity_binary64_11331` `sum-log_binary64_11422`
6×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `add-cube-cbrt_binary64_11366`
4×	`associate-l_binary64_11272`
3×	`associate-r_binary64_11271` `diff-log_binary64_11423`
2×	`flip3-+_binary64_11334` `flip-+_binary64_11305` `associate-+l-_binary64_11266` `sub-neg_binary64_11324` `associate-+l+_binary64_11264` `cancel-sign-sub-inv_binary64_11297` `+-commutative_binary64_11261`
1×	`pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299` `log-pow_binary64_11420` `*-commutative_binary64_11262` `associate-+r-_binary64_11265` `associate-+r+_binary64_11263` `flip3--_binary64_11335` `flip--_binary64_11306` `distribute-rgt-out--_binary64_11285`

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))
5.0ms	(-.f64 y (*.f64 z y))
5.0ms	(*.f64 (log.f64 z) y)

Compiler

Compiled 1363 to 422 computations (69% saved)

series648.0ms (9.2%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

290.0ms	(+.f64 (.f64 x 1/2) (+.f64 (-.f64 y (.f64 z y)) (*.f64 (log.f64 z) y)))
148.0ms	(+.f64 (-.f64 y (.f64 z y)) (.f64 (log.f64 z) y))
129.0ms	(*.f64 (log.f64 z) y)
54.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1371 to 948 computations (30.9% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5902	1315

prune86.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	102	8	110

Error

0.0b

Counts

110 → 8

Compiler

Compiled 1756 to 807 computations (54% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)) (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)))
0.5b	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
0.5b	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
0.5b	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))

rewrite292.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

112×	`*-un-lft-identity_binary64_11331`
77×	`cbrt-prod_binary64_11362`
39×	`distribute-lft-out--_binary64_11283`
37×	`add-sqr-sqrt_binary64_11353`
26×	`distribute-lft-out_binary64_11282`
24×	`pow1_binary64_11392`
22×	`swap-sqr_binary64_11298`
18×	`cbrt-div_binary64_11363`
15×	`add-cube-cbrt_binary64_11366`
13×	`log-pow_binary64_11420`
10×	`associate-l_binary64_11272` `associate-r_binary64_11271`
9×	`pow1/3_binary64_11413` `flip3--_binary64_11335` `flip--_binary64_11306`
7×	`difference-of-squares_binary64_11300`
6×	`add-exp-log_binary64_11369`
4×	`add-log-exp_binary64_11370` `add-cbrt-cube_binary64_11367` `frac-times_binary64_11341` `unswap-sqr_binary64_11299`
2×	`pow-prod-down_binary64_11402` `pow-prod-up_binary64_11401` `pow-sqr_binary64_11304` `associate-l/_binary64_11274` `associate-r/_binary64_11273`
1×	`pow2_binary64_11412` `pow-plus_binary64_11394` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `*-commutative_binary64_11262`

Counts

4 → 123

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)) (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
6.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
6.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))

Compiler

Compiled 4811 to 3096 computations (35.6% saved)

series381.0ms (5.4%)

Error

Counts

4 → 19

Calls

4 calls:

167.0ms	(*.f64 (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)) (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)))
59.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
58.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
57.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))

Compiler

Compiled 2294 to 1846 computations (19.5% saved)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4955	3223
1	4955	3223

prune250.0ms (3.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	141	9	150

Error

Counts

150 → 9

Compiler

Compiled 5133 to 3362 computations (34.5% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)) (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)))
0.5b	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
0.5b	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
0.5b	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))

rewrite289.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

113×	`*-un-lft-identity_binary64_11331`
77×	`cbrt-prod_binary64_11362`
38×	`distribute-lft-out--_binary64_11283`
35×	`add-sqr-sqrt_binary64_11353`
28×	`distribute-lft-out_binary64_11282`
25×	`pow1_binary64_11392`
22×	`swap-sqr_binary64_11298`
18×	`cbrt-div_binary64_11363`
15×	`add-cube-cbrt_binary64_11366`
14×	`log-pow_binary64_11420`
10×	`associate-l_binary64_11272` `associate-r_binary64_11271`
9×	`pow1/3_binary64_11413`
8×	`flip3--_binary64_11335` `flip--_binary64_11306`
6×	`add-exp-log_binary64_11369` `difference-of-squares_binary64_11300`
4×	`add-log-exp_binary64_11370` `add-cbrt-cube_binary64_11367` `frac-times_binary64_11341` `unswap-sqr_binary64_11299`
2×	`pow-prod-down_binary64_11402` `pow-prod-up_binary64_11401` `pow-sqr_binary64_11304` `associate-l/_binary64_11274` `associate-r/_binary64_11273`
1×	`flip3-+_binary64_11334` `flip-+_binary64_11305` `pow2_binary64_11412` `pow-plus_binary64_11394` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `*-commutative_binary64_11262`

Counts

4 → 123

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)) (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))

Compiler

Compiled 4802 to 3093 computations (35.6% saved)

series369.0ms (5.2%)

Error

Counts

4 → 19

Calls

4 calls:

166.0ms	(*.f64 (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)) (cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z)))
61.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
54.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
53.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))

Compiler

Compiled 2294 to 1846 computations (19.5% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5080	3216

prune250.0ms (3.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	142	9	151

Error

Counts

151 → 9

Compiler

Compiled 4982 to 3245 computations (34.9% saved)

regimes796.0ms (11.3%)

Accuracy

Total 0.1b remaining (96.1%)

Threshold costs 0.1b (96.1%)

Compiler

Compiled 8898 to 7094 computations (20.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample1.9s (26.5%)

Algorithm

1×

intervals

Results

395.0ms	8000×	body	128	valid
18.0ms	297×	body	128	invalid
3.0ms	71×	body	128	nan

Compiler

Compiled 1299 to 1038 computations (20.1% saved)

Details

analyze188.0ms (2.7%)

sample23.0ms (0.3%)

simplify444.0ms (6.3%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite108.0ms (1.5%)

series486.0ms (6.9%)

simplify70.0ms (1%)

prune95.0ms (1.3%)

localize10.0ms (0.1%)

rewrite80.0ms (1.1%)

series648.0ms (9.2%)

simplify78.0ms (1.1%)

prune86.0ms (1.2%)

localize13.0ms (0.2%)

rewrite292.0ms (4.1%)

series381.0ms (5.4%)

simplify103.0ms (1.5%)

prune250.0ms (3.6%)

localize22.0ms (0.3%)

rewrite289.0ms (4.1%)

series369.0ms (5.2%)

simplify77.0ms (1.1%)

prune250.0ms (3.5%)

regimes796.0ms (11.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (26.5%)

Profiling