Details

analyze354.0ms (0.8%)

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)

sample46.0ms (0.1%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
1.0ms	9×	body	128	invalid
0.0ms	4×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify2.0s (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.6s)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune10.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize42.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite162.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_8944`
9×	`pow1_binary64_9005` `add-sqr-sqrt_binary64_8966`
8×	`distribute-lft-out_binary64_8895` `add-log-exp_binary64_8983`
7×	`add-cube-cbrt_binary64_8979` `associate-r_binary64_8884`
5×	`add-cbrt-cube_binary64_8980` `associate-+r+_binary64_8876` `add-exp-log_binary64_8982`
4×	`associate-+l+_binary64_8877` `distribute-lft-out--_binary64_8896` `log-pow_binary64_9033`
3×	`flip3-+_binary64_8947` `associate-l_binary64_8885` `sum-log_binary64_9035` `cancel-sign-sub-inv_binary64_8910` `log-prod_binary64_9030` `flip-+_binary64_8918`
2×	`associate-*r/_binary64_8886` `+-commutative_binary64_8874` `distribute-rgt-in_binary64_8894` `distribute-lft-in_binary64_8893`
1×	`prod-exp_binary64_8993` `*-commutative_binary64_8875` `diff-log_binary64_9036` `sub-neg_binary64_8937` `associate-+l-_binary64_8879` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`

Counts

3 → 63

Calls

3 calls:

58.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
53.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
32.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series791.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

279.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
264.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
247.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify375.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (282.0ms)

Iter	Nodes	Cost
0	5274	1057

prune1.2s (2.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	48	24	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	24	73

Merged error: 0b

Counts

73 → 24

Compiler

Compiled 1803 to 1194 computations (33.8% saved)

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite154.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_8944`
14×	`add-sqr-sqrt_binary64_8966`
11×	`add-log-exp_binary64_8983`
10×	`add-cube-cbrt_binary64_8979`
9×	`pow1_binary64_9005` `associate-+r+_binary64_8876`
6×	`associate--l+_binary64_8881` `distribute-lft-out--_binary64_8896` `associate-r_binary64_8884` `add-cbrt-cube_binary64_8980` `distribute-lft-out_binary64_8895` `cancel-sign-sub-inv_binary64_8910` `log-prod_binary64_9030` `add-exp-log_binary64_8982`
3×	`flip3-+_binary64_8947` `associate-l_binary64_8885` `sum-log_binary64_9035` `log-pow_binary64_9033` `flip-+_binary64_8918`
2×	`associate-*r/_binary64_8886` `+-commutative_binary64_8874` `distribute-rgt-in_binary64_8894` `diff-log_binary64_9036` `sub-neg_binary64_8937` `distribute-lft-in_binary64_8893`
1×	`flip3--_binary64_8948` `flip--_binary64_8919` `prod-exp_binary64_8993` `*-commutative_binary64_8875` `associate-+r-_binary64_8878` `difference-of-squares_binary64_8913` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`

Counts

4 → 81

Calls

4 calls:

41.0ms	(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
38.0ms	(-.f64 (log.f64 z) z)
33.0ms	(+.f64 1 (-.f64 (log.f64 z) z))
30.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))))

series771.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(+.f64 1 (-.f64 (log.f64 z) z))
225.0ms	(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
163.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))))
137.0ms	(-.f64 (log.f64 z) z)

simplify336.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (187.0ms)

Iter	Nodes	Cost
0	4939	1207
1	4939	1207

prune2.3s (5%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	71	22	93
Fresh	9	14	23
Picked	0	1	1
Done	0	0	0
Total	80	37	117

Merged error: 0b

Counts

117 → 37

Compiler

Compiled 2400 to 1450 computations (39.6% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite116.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_8944`
14×	`add-sqr-sqrt_binary64_8966`
11×	`add-log-exp_binary64_8983`
10×	`add-cube-cbrt_binary64_8979`
9×	`pow1_binary64_9005` `associate-+r+_binary64_8876`
6×	`associate--l+_binary64_8881` `distribute-lft-out--_binary64_8896` `associate-r_binary64_8884` `add-cbrt-cube_binary64_8980` `distribute-lft-out_binary64_8895` `cancel-sign-sub-inv_binary64_8910` `log-prod_binary64_9030` `add-exp-log_binary64_8982`
3×	`flip3-+_binary64_8947` `associate-l_binary64_8885` `sum-log_binary64_9035` `log-pow_binary64_9033` `flip-+_binary64_8918`
2×	`associate-*r/_binary64_8886` `+-commutative_binary64_8874` `distribute-rgt-in_binary64_8894` `diff-log_binary64_9036` `sub-neg_binary64_8937` `distribute-lft-in_binary64_8893`
1×	`flip3--_binary64_8948` `flip--_binary64_8919` `prod-exp_binary64_8993` `*-commutative_binary64_8875` `associate-+r-_binary64_8878` `difference-of-squares_binary64_8913` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`

Counts

4 → 81

Calls

4 calls:

32.0ms	(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
30.0ms	(+.f64 1 (-.f64 (log.f64 z) z))
24.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))))
14.0ms	(-.f64 (log.f64 z) z)

series998.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

314.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))))
250.0ms	(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
233.0ms	(+.f64 1 (-.f64 (log.f64 z) z))
201.0ms	(-.f64 (log.f64 z) z)

simplify346.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (277.0ms)

Iter	Nodes	Cost
0	4939	1207
1	4939	1207

prune2.5s (5.4%)

Pruning

61 alts after pruning (59 fresh and 2 done)

	Pruned	Kept	Total
New	64	29	93
Fresh	5	30	35
Picked	0	1	1
Done	0	1	1
Total	69	61	130

Merged error: 0b

Counts

130 → 61

Compiler

Compiled 3207 to 2094 computations (34.7% saved)

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite152.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_8944`
22×	`distribute-lft-out_binary64_8895`
14×	`add-log-exp_binary64_8983`
12×	`pow1_binary64_9005`
9×	`add-sqr-sqrt_binary64_8966`
8×	`associate-r_binary64_8884` `sum-log_binary64_9035`
7×	`add-cube-cbrt_binary64_8979`
6×	`distribute-rgt-neg-in_binary64_8902` `add-cbrt-cube_binary64_8980` `log-pow_binary64_9033` `add-exp-log_binary64_8982`
4×	`flip3-+_binary64_8947` `associate-+r-_binary64_8878` `flip-+_binary64_8918`
3×	`associate-l_binary64_8885` `+-commutative_binary64_8874` `associate-+l+_binary64_8877` `associate-+r+_binary64_8876` `log-prod_binary64_9030`
2×	`associate-*r/_binary64_8886` `unsub-neg_binary64_8938` `distribute-rgt-in_binary64_8894` `neg-log_binary64_9037` `neg-sub0_binary64_8939` `distribute-lft-in_binary64_8893`
1×	`prod-exp_binary64_8993` `*-commutative_binary64_8875` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`

Counts

4 → 82

Calls

4 calls:

46.0ms	(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
39.0ms	(+.f64 1 (+.f64 (log.f64 z) (neg.f64 z)))
27.0ms	(+.f64 (log.f64 z) (neg.f64 z))
18.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z)))))

series863.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

236.0ms	(+.f64 1 (+.f64 (log.f64 z) (neg.f64 z)))
226.0ms	(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
215.0ms	(+.f64 (log.f64 z) (neg.f64 z))
186.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z)))))

simplify321.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (255.0ms)

Iter	Nodes	Cost
0	4901	1188
1	4901	1188

prune2.4s (5.1%)

Pruning

64 alts after pruning (62 fresh and 2 done)

	Pruned	Kept	Total
New	86	8	94
Fresh	4	54	58
Picked	1	0	1
Done	0	2	2
Total	91	64	155

Merged error: 0b

Counts

155 → 64

Compiler

Compiled 1561 to 824 computations (47.2% saved)

regimes13.6s (29.2%)

Compiler: Compiled 24062 to 19240 computations (20% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	18
1	28	18

end0.0ms (0%)

sample16.7s (35.7%)

Algorithm

1×

intervals

Results

1.5s	8000×	body	128	valid
49.0ms	301×	body	128	invalid
7.0ms	75×	body	128	nan

Compiler

Compiled 3338 to 2668 computations (20.1% saved)

Pareto

Details

analyze354.0ms (0.8%)

sample46.0ms (0.1%)

simplify2.0s (4.2%)

prune10.0ms (0%)

localize42.0ms (0.1%)

rewrite162.0ms (0.3%)

series791.0ms (1.7%)

simplify375.0ms (0.8%)

prune1.2s (2.6%)

localize46.0ms (0.1%)

rewrite154.0ms (0.3%)

series771.0ms (1.7%)

simplify336.0ms (0.7%)

prune2.3s (5%)

localize53.0ms (0.1%)

rewrite116.0ms (0.2%)

series998.0ms (2.1%)

simplify346.0ms (0.7%)

prune2.5s (5.4%)

localize47.0ms (0.1%)

rewrite152.0ms (0.3%)

series863.0ms (1.9%)

simplify321.0ms (0.7%)

prune2.4s (5.1%)

regimes13.6s (29.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample16.7s (35.7%)

Profiling