Details

analyze253.0ms (3.1%)

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)

sample41.0ms (0.5%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid
0.0ms	4×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify555.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (433.0ms)

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)

localize10.0ms (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))))
0.1b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite116.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_11672`
9×	`pow1_binary64_11733` `add-sqr-sqrt_binary64_11694`
8×	`add-log-exp_binary64_11711` `distribute-lft-out_binary64_11623`
7×	`add-cube-cbrt_binary64_11707` `associate-r_binary64_11612`
5×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `associate-+r+_binary64_11604`
4×	`log-pow_binary64_11761` `distribute-lft-out--_binary64_11624` `associate-+l+_binary64_11605`
3×	`flip3-+_binary64_11675` `flip-+_binary64_11646` `associate-l_binary64_11613` `sum-log_binary64_11763` `cancel-sign-sub-inv_binary64_11638` `log-prod_binary64_11758`
2×	`distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621` `associate-*r/_binary64_11614` `+-commutative_binary64_11602`
1×	`pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `*-commutative_binary64_11603` `diff-log_binary64_11764` `associate-+l-_binary64_11607` `sub-neg_binary64_11665`

Counts

3 → 63

Calls

3 calls:

18.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
12.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 1231 to 755 computations (38.7% saved)

series608.0ms (7.5%)

Error

0.0b

Counts

3 → 30

Calls

3 calls:

341.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
164.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
67.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5370	1270

prune90.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Error

0.0b

Counts

94 → 5

Compiler

Compiled 1509 to 910 computations (39.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y)) (cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y)))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))

rewrite231.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`associate-*l/_binary64_11615`
18×	`cbrt-div_binary64_11704`
11×	`pow1_binary64_11733`
10×	`add-sqr-sqrt_binary64_11694`
9×	`pow1/3_binary64_11754` `flip3--_binary64_11676` `flip--_binary64_11647`
8×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
7×	`cbrt-prod_binary64_11703`
6×	`add-exp-log_binary64_11710`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708` `frac-times_binary64_11682` `swap-sqr_binary64_11639` `associate-l_binary64_11613` `associate-r_binary64_11612`
2×	`pow-prod-down_binary64_11743` `pow-prod-up_binary64_11742` `pow-sqr_binary64_11645` `associate-*r/_binary64_11614`
1×	`pow2_binary64_11753` `pow-plus_binary64_11735` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `*-commutative_binary64_11603`

Counts

4 → 72

Calls

4 calls:

17.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
14.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y)) (cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y)))
9.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))

Compiler

Compiled 3197 to 1975 computations (38.2% saved)

series1.5s (18%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

413.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y)) (cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y)))
351.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
337.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
294.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))

Compiler

Compiled 4205 to 3232 computations (23.1% saved)

simplify98.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5002	2249

prune236.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	102	6	108

Error

0.0b

Counts

108 → 6

Compiler

Compiled 3988 to 2458 computations (38.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))

rewrite136.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64_11672`
12×	`cbrt-prod_binary64_11703`
8×	`add-sqr-sqrt_binary64_11694`
6×	`add-cube-cbrt_binary64_11707` `cbrt-div_binary64_11704`
5×	`pow1_binary64_11733`
4×	`pow1/3_binary64_11754` `add-log-exp_binary64_11711` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `associate-*l/_binary64_11615`
3×	`flip3--_binary64_11676` `flip--_binary64_11647` `distribute-lft-out--_binary64_11624`
2×	`distribute-lft-out_binary64_11623`
1×	`difference-of-squares_binary64_11641` `log-pow_binary64_11761`

Counts

4 → 50

Calls

4 calls:

8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2108 to 1273 computations (39.6% saved)

series882.0ms (10.9%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

337.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
318.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) 1) z) y))
102.0ms	(cbrt.f64 (-.f64 (+.f64 (log.f64 z) 1) z))
85.0ms	(cbrt.f64 y)

Compiler

Compiled 3075 to 2305 computations (25% saved)

simplify134.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4979	1190
1	4979	1190

prune148.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Error

0.0b

Counts

79 → 6

Compiler

Compiled 2965 to 1772 computations (40.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite141.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_11703`
23×	`add-sqr-sqrt_binary64_11694`
15×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
11×	`pow1_binary64_11733`
9×	`pow1/3_binary64_11754`
6×	`add-exp-log_binary64_11710` `swap-sqr_binary64_11639` `associate-l_binary64_11613` `associate-r_binary64_11612`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708` `unswap-sqr_binary64_11640`
2×	`pow-prod-down_binary64_11743` `pow-prod-up_binary64_11742` `pow-sqr_binary64_11645`
1×	`pow2_binary64_11753` `pow-plus_binary64_11735` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `*-commutative_binary64_11603`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1743 to 746 computations (57.2% saved)

series377.0ms (4.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

105.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
96.0ms	(cbrt.f64 y)
92.0ms	(cbrt.f64 y)
72.0ms	(cbrt.f64 y)

Compiler

Compiled 771 to 588 computations (23.7% saved)

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune93.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	85	6	91

Error

0.0b

Counts

91 → 6

Compiler

Compiled 1828 to 897 computations (50.9% saved)

regimes592.0ms (7.3%)

Accuracy

Total 0.1b remaining (89.6%)

Threshold costs 0.1b (89.6%)

Compiler

Compiled 5125 to 4000 computations (22% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample1.7s (20.6%)

Algorithm

1×

intervals

Results

442.0ms	8000×	body	128	valid
21.0ms	318×	body	128	invalid
3.0ms	73×	body	128	nan

Compiler

Compiled 760 to 596 computations (21.6% saved)

Details

analyze253.0ms (3.1%)

sample41.0ms (0.5%)

simplify555.0ms (6.9%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite116.0ms (1.4%)

series608.0ms (7.5%)

simplify71.0ms (0.9%)

prune90.0ms (1.1%)

localize18.0ms (0.2%)

rewrite231.0ms (2.9%)

series1.5s (18%)

simplify98.0ms (1.2%)

prune236.0ms (2.9%)

localize16.0ms (0.2%)

rewrite136.0ms (1.7%)

series882.0ms (10.9%)

simplify134.0ms (1.7%)

prune148.0ms (1.8%)

localize14.0ms (0.2%)

rewrite141.0ms (1.7%)

series377.0ms (4.7%)

simplify93.0ms (1.2%)

prune93.0ms (1.2%)

regimes592.0ms (7.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (20.6%)

Profiling