Details

analyze468.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4949	72
1	4949	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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify171.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite123.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_13075` `*-un-lft-identity_binary64_13036`
15×	`add-sqr-sqrt_binary64_13058`
12×	`log-prod_binary64_13122`
11×	`add-cube-cbrt_binary64_13071`
7×	`pow1_binary64_13097`
6×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985` `diff-log_binary64_13128` `associate--r+_binary64_12972`
5×	`cancel-sign-sub-inv_binary64_13002`
4×	`associate-l_binary64_12977` `associate-r_binary64_12976` `sum-log_binary64_13127`
3×	`distribute-lft-out_binary64_12987` `sub-neg_binary64_13029`
2×	`flip3-+_binary64_13039` `associate-*l/_binary64_12979` `flip-+_binary64_13010` `associate-+l-_binary64_12971` `associate-+l+_binary64_12969` `flip3--_binary64_13040` `flip--_binary64_13011` `distribute-lft-out--_binary64_12988`
1×	`pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004` `log-pow_binary64_13125` `*-commutative_binary64_12967` `+-commutative_binary64_12966` `difference-of-squares_binary64_13005` `associate--l-_binary64_12974` `associate--l+_binary64_12973`

Counts

4 → 83

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

Compiler

Compiled 1701 to 938 computations (44.9% saved)

series1.0s (11.5%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

401.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
256.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
233.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
79.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 1495 to 1049 computations (29.8% saved)

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4804	1914
1	4804	1914

prune131.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	119	8	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	9	128

Error

Counts

128 → 9

Compiler

Compiled 2121 to 1121 computations (47.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite137.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_13036`
12×	`cbrt-prod_binary64_13067` `log-prod_binary64_13122` `associate-+r+_binary64_12968`
11×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058`
10×	`associate-*l/_binary64_12979`
9×	`pow1_binary64_13097` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
6×	`add-log-exp_binary64_13075` `flip3-+_binary64_13039` `flip-+_binary64_13010` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985`
4×	`frac-add_binary64_13044` `associate-l_binary64_12977`
3×	`pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069`
2×	`pow1/3_binary64_13118` `distribute-lft-out_binary64_12987`
1×	`sum-log_binary64_13127` `+-commutative_binary64_12966` `associate-r_binary64_12976` `*-commutative_binary64_12967`

Counts

4 → 71

Calls

4 calls:

12.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
8.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2368 to 1316 computations (44.4% saved)

series567.0ms (6.5%)

Error

Counts

4 → 16

Calls

4 calls:

228.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
154.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
81.0ms	(cbrt.f64 y)
80.0ms	(cbrt.f64 y)

Compiler

Compiled 1074 to 849 computations (20.9% saved)

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5664	1205

prune116.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	87	9	96

Error

Counts

96 → 9

Compiler

Compiled 2375 to 1368 computations (42.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
0.1b	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
0.4b	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))
0.4b	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))

rewrite189.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_13036`
18×	`add-log-exp_binary64_13075`
16×	`add-sqr-sqrt_binary64_13058`
14×	`sqrt-div_binary64_13053`
12×	`pow1_binary64_13097`
11×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `associate-l_binary64_12977`
10×	`add-cube-cbrt_binary64_13071` `associate-*r/_binary64_12978`
9×	`sqrt-prod_binary64_13052`
8×	`flip3-+_binary64_13039` `flip-+_binary64_13010` `associate-r_binary64_12976`
5×	`diff-log_binary64_13128`
4×	`pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `frac-times_binary64_13046` `distribute-lft-out_binary64_12987` `sum-log_binary64_13127` `cancel-sign-sub-inv_binary64_13002`
2×	`associate-l/_binary64_12979` `-commutative_binary64_12967` `unswap-sqr_binary64_13004` `associate-+l-_binary64_12971` `sub-neg_binary64_13029` `associate-+l+_binary64_12969` `distribute-lft-out--_binary64_12988`
1×	`log-pow_binary64_13125` `+-commutative_binary64_12966` `flip3--_binary64_13040` `flip--_binary64_13011` `difference-of-squares_binary64_13005` `associate--l-_binary64_12974` `associate--l+_binary64_12973`

Counts

4 → 93

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
11.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))
9.0ms	(-.f64 (+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
6.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)

Compiler

Compiled 2675 to 1735 computations (35.1% saved)

series813.0ms (9.3%)

Error

Counts

4 → 37

Calls

4 calls:

380.0ms	(-.f64 (+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
272.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
88.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
47.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))

Compiler

Compiled 1416 to 1021 computations (27.9% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5238	2038

prune135.0ms (1.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	130	9	139

Error

Counts

139 → 9

Compiler

Compiled 2516 to 1470 computations (41.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y y) (-.f64 (.f64 1/2 1/2) (.f64 y 1/2))))) y) z)
0.1b	(*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8))
0.1b	(+.f64 (-.f64 x (/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y y) (-.f64 (.f64 1/2 1/2) (.f64 y 1/2))))) y)
17.7b	(/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y y) (-.f64 (.f64 1/2 1/2) (.f64 y 1/2))))

rewrite265.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`*-un-lft-identity_binary64_13036`
18×	`add-log-exp_binary64_13075`
15×	`add-sqr-sqrt_binary64_13058`
12×	`cancel-sign-sub-inv_binary64_13002`
11×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `add-cube-cbrt_binary64_13071`
10×	`associate-+l+_binary64_12969`
7×	`pow1_binary64_13097`
6×	`times-frac_binary64_13042`
5×	`flip3-+_binary64_13039` `flip-+_binary64_13010` `diff-log_binary64_13128` `distribute-lft-out_binary64_12987` `distribute-lft-out--_binary64_12988`
4×	`associate-r/_binary64_12978` `associate-/r/_binary64_12982` `sum-log_binary64_13127` `associate-l_binary64_12977` `associate-r*_binary64_12976`
3×	`associate-/r*_binary64_12980`
2×	`prod-exp_binary64_13085` `div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `cbrt-unprod_binary64_13069` `div-inv_binary64_13033` `associate-/l/_binary64_12983` `associate-+l-_binary64_12971` `sub-neg_binary64_13029`
1×	`frac-2neg_binary64_13047` `clear-num_binary64_13035` `associate-/l_binary64_12981` `+-commutative_binary64_12966` `pow-prod-down_binary64_13107` `unswap-sqr_binary64_13004` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985` `log-pow_binary64_13125` `-commutative_binary64_12967` `flip3--_binary64_13040` `flip--_binary64_13011` `difference-of-squares_binary64_13005` `associate--l-_binary64_12974` `associate--l+_binary64_12973`

Counts

4 → 96

Calls

4 calls:

24.0ms	(/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y y) (-.f64 (.f64 1/2 1/2) (.f64 y 1/2))))
18.0ms	(-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y y) (-.f64 (.f64 1/2 1/2) (.f64 y 1/2))))) y) z)
16.0ms	(+.f64 (-.f64 x (/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y y) (-.f64 (.f64 1/2 1/2) (.f64 y 1/2))))) y)
10.0ms	(*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8))

Compiler

Compiled 3901 to 2511 computations (35.6% saved)

series1.6s (18.3%)

Error

Counts

4 → 38

Calls

4 calls:

807.0ms	(-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y y) (-.f64 (.f64 1/2 1/2) (.f64 y 1/2))))) y) z)
475.0ms	(+.f64 (-.f64 x (/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y y) (-.f64 (.f64 1/2 1/2) (.f64 y 1/2))))) y)
149.0ms	(*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8))
123.0ms	(/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y y) (-.f64 (.f64 1/2 1/2) (.f64 y 1/2))))

Compiler

Compiled 2227 to 1687 computations (24.2% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4939	4008
1	4939	4008

prune206.0ms (2.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	134	9	143

Error

Counts

143 → 9

Compiler

Compiled 4023 to 2447 computations (39.2% saved)

regimes560.0ms (6.4%)

Accuracy

Total 0.1b remaining (95.8%)

Threshold costs 0.1b (95.8%)

Compiler

Compiled 5435 to 4321 computations (20.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms (0%)

sample1.8s (21%)

Algorithm

1×

intervals

Results

387.0ms	8000×	body	128	valid
2.0ms	39×	body	128	invalid

Compiler

Compiled 1114 to 887 computations (20.4% saved)

Details

analyze468.0ms (5.4%)

sample23.0ms (0.3%)

simplify171.0ms (2%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite123.0ms (1.4%)

series1.0s (11.5%)

simplify123.0ms (1.4%)

prune131.0ms (1.5%)

localize15.0ms (0.2%)

rewrite137.0ms (1.6%)

series567.0ms (6.5%)

simplify44.0ms (0.5%)

prune116.0ms (1.3%)

localize14.0ms (0.2%)

rewrite189.0ms (2.2%)

series813.0ms (9.3%)

simplify74.0ms (0.8%)

prune135.0ms (1.5%)

localize18.0ms (0.2%)

rewrite265.0ms (3%)

series1.6s (18.3%)

simplify95.0ms (1.1%)

prune206.0ms (2.4%)

regimes560.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (21%)

Profiling