Details

analyze183.0ms (4.1%)

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)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid
0.0ms	5×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify199.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	682	18
1	682	18

prune3.0ms (0.1%)

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)

localize10.0ms (0.2%)

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

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_9513`
9×	`pow1_binary64_9571`
8×	`add-log-exp_binary64_9549` `add-sqr-sqrt_binary64_9534` `distribute-lft-out_binary64_9466`
7×	`associate-r_binary64_9455`
6×	`add-cube-cbrt_binary64_9545`
5×	`add-exp-log_binary64_9548` `add-cbrt-cube_binary64_9546` `associate-+r+_binary64_9447`
4×	`log-pow_binary64_9599` `distribute-lft-out--_binary64_9467`
3×	`flip3-+_binary64_9516` `sum-log_binary64_9601` `associate-l_binary64_9456` `log-prod_binary64_9596` `flip-+_binary64_9487`
2×	`+-commutative_binary64_9445` `distribute-lft-in_binary64_9464` `distribute-rgt-in_binary64_9465` `associate-*r/_binary64_9457`
1×	`pow-prod-down_binary64_9581` `diff-log_binary64_9602` `associate-+l-_binary64_9450` `associate-+l+_binary64_9448` `sub-neg_binary64_9506` `prod-exp_binary64_9559` `unswap-sqr_binary64_9481` `*-commutative_binary64_9446` `cbrt-unprod_binary64_9543`

Counts

3 → 60

Calls

3 calls:

17.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series305.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

113.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
105.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
87.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4939	1039
1	4939	1039

prune78.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

Compiler

Compiled 1302 to 817 computations (37.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_9513`
12×	`add-sqr-sqrt_binary64_9534`
10×	`add-cube-cbrt_binary64_9545` `add-log-exp_binary64_9549`
9×	`cbrt-prod_binary64_9541`
8×	`pow1_binary64_9571`
6×	`add-exp-log_binary64_9548` `log-prod_binary64_9596` `add-cbrt-cube_binary64_9546` `associate-+r+_binary64_9447`
5×	`associate-r_binary64_9455` `sum-log_binary64_9601`
4×	`distribute-lft-out_binary64_9466`
3×	`associate-l_binary64_9456`
2×	`flip3-+_binary64_9516` `associate-+l-_binary64_9450` `log-pow_binary64_9599` `flip-+_binary64_9487` `associate-*r/_binary64_9457` `pow1/3_binary64_9592`
1×	`pow-prod-down_binary64_9581` `diff-log_binary64_9602` `+-commutative_binary64_9445` `associate-+l+_binary64_9448` `prod-exp_binary64_9559` `unswap-sqr_binary64_9481` `*-commutative_binary64_9446` `distribute-lft-in_binary64_9464` `distribute-rgt-in_binary64_9465` `cbrt-unprod_binary64_9543`

Counts

4 → 69

Calls

4 calls:

14.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
13.0ms	(+.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)

series935.0ms (21.1%)

Counts

4 → 12

Calls

4 calls:

357.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
260.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
160.0ms	(cbrt.f64 z)
158.0ms	(cbrt.f64 z)

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4910	996
1	4910	996

prune93.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	80	7	87

Merged error: 0b

Counts

87 → 7

Compiler

Compiled 1837 to 1023 computations (44.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_9513`
13×	`add-sqr-sqrt_binary64_9534`
12×	`add-log-exp_binary64_9549`
8×	`pow1_binary64_9571`
7×	`add-cube-cbrt_binary64_9545`
6×	`add-exp-log_binary64_9548` `associate-l_binary64_9456` `add-cbrt-cube_binary64_9546`
4×	`sum-log_binary64_9601` `distribute-lft-out--_binary64_9467`
3×	`associate-r_binary64_9455` `associate--l+_binary64_9452` `log-prod_binary64_9596`
2×	`flip3-+_binary64_9516` `associate-*l/_binary64_9458` `+-commutative_binary64_9445` `difference-of-squares_binary64_9482` `log-pow_binary64_9599` `flip-+_binary64_9487` `flip3--_binary64_9517` `flip--_binary64_9488`
1×	`pow-prod-down_binary64_9581` `diff-log_binary64_9602` `sub-neg_binary64_9506` `prod-exp_binary64_9559` `distribute-rgt1-in_binary64_9471` `associate-+r+_binary64_9447` `unswap-sqr_binary64_9481` `*-commutative_binary64_9446` `distribute-rgt-out_binary64_9468` `cbrt-unprod_binary64_9543`

Counts

4 → 66

Calls

4 calls:

7.0ms	(*.f64 (-.f64 (log.f64 z) z) y)
7.0ms	(+.f64 (.f64 x 1/2) (+.f64 y (.f64 (-.f64 (log.f64 z) z) y)))
5.0ms	(-.f64 (log.f64 z) z)
4.0ms	(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))

series404.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
104.0ms	(-.f64 (log.f64 z) z)
96.0ms	(+.f64 (.f64 x 1/2) (+.f64 y (.f64 (-.f64 (log.f64 z) z) y)))
83.0ms	(*.f64 (-.f64 (log.f64 z) z) y)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4954	1133
1	4954	1133

prune68.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0b

Counts

85 → 7

Compiler

Compiled 1457 to 590 computations (59.5% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`cbrt-prod_binary64_9541`
52×	`*-un-lft-identity_binary64_9513`
37×	`add-sqr-sqrt_binary64_9534`
22×	`distribute-lft-out--_binary64_9467` `pow1_binary64_9571`
18×	`cbrt-div_binary64_9542`
15×	`add-cube-cbrt_binary64_9545` `swap-sqr_binary64_9480`
11×	`log-pow_binary64_9599`
9×	`associate-r_binary64_9455` `associate-l_binary64_9456` `flip3--_binary64_9517` `flip--_binary64_9488` `pow1/3_binary64_9592`
7×	`difference-of-squares_binary64_9482`
6×	`add-exp-log_binary64_9548`
4×	`add-log-exp_binary64_9549` `frac-times_binary64_9523` `add-cbrt-cube_binary64_9546` `unswap-sqr_binary64_9481`
2×	`pow-prod-down_binary64_9581` `pow-sqr_binary64_9486` `associate-l/_binary64_9458` `pow-prod-up_binary64_9580` `associate-r/_binary64_9457`
1×	`pow-plus_binary64_9573` `prod-exp_binary64_9559` `*-commutative_binary64_9446` `pow2_binary64_9591` `cbrt-unprod_binary64_9543`

Counts

4 → 111

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (cbrt.f64 (-.f64 (log.f64 z) z)))
4.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))
4.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))
4.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))

series372.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (cbrt.f64 (-.f64 (log.f64 z) z)))
92.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))
86.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))
84.0ms	(cbrt.f64 (-.f64 (log.f64 z) z))

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4950	2793
1	4950	2793

prune151.0ms (3.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	123	7	130

Merged error: 0b

Counts

130 → 7

Compiler

Compiled 4160 to 1447 computations (65.2% saved)

regimes135.0ms (3%)

Compiler: Compiled 1149 to 871 computations (24.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample993.0ms (22.4%)

Algorithm

1×

intervals

Results

399.0ms	8000×	body	128	valid
17.0ms	294×	body	128	invalid
2.0ms	63×	body	128	nan

Compiler

Compiled 192 to 149 computations (22.4% saved)

Details

analyze183.0ms (4.1%)

sample24.0ms (0.5%)

simplify199.0ms (4.5%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite37.0ms (0.8%)

series305.0ms (6.9%)

simplify84.0ms (1.9%)

prune78.0ms (1.8%)

localize14.0ms (0.3%)

rewrite36.0ms (0.8%)

series935.0ms (21.1%)

simplify71.0ms (1.6%)

prune93.0ms (2.1%)

localize10.0ms (0.2%)

rewrite28.0ms (0.6%)

series404.0ms (9.1%)

simplify67.0ms (1.5%)

prune68.0ms (1.5%)

localize17.0ms (0.4%)

rewrite41.0ms (0.9%)

series372.0ms (8.4%)

simplify67.0ms (1.5%)

prune151.0ms (3.4%)

regimes135.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample993.0ms (22.4%)

Profiling