Details

analyze759.0ms (10.3%)

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample40.0ms (0.5%)

Algorithm

1×

intervals

Results

17.0ms	227×	body	128	valid
3.0ms	11×	body	1024	valid
2.0ms	10×	body	512	valid
2.0ms	23×	body	128	invalid
1.0ms	8×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify587.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (420.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite60.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_9648`
18×	`*-un-lft-identity_binary64_9626`
15×	`cancel-sign-sub-inv_binary64_9592`
12×	`add-cube-cbrt_binary64_9661`
11×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
10×	`associate-*l/_binary64_9569`
8×	`distribute-rgt-in_binary64_9576` `flip3--_binary64_9630` `add-log-exp_binary64_9665` `flip--_binary64_9601` `associate-r_binary64_9566` `distribute-lft-in_binary64_9575` `associate-+r+_binary64_9558`
6×	`associate-l_binary64_9567`
5×	`sub-neg_binary64_9619`
4×	`frac-times_binary64_9636` `prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
3×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595`
2×	`-commutative_binary64_9557` `associate-r/_binary64_9568`
1×	`diff-log_binary64_9718` `+-commutative_binary64_9556` `flip-+_binary64_9600` `unswap-sqr_binary64_9594` `sum-log_binary64_9717` `flip3-+_binary64_9629`

Counts

4 → 93

Calls

4 calls:

20.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
12.0ms	(*.f64 (-.f64 y x) 6)
9.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
7.0ms	(-.f64 2/3 z)

series190.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
56.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
35.0ms	(*.f64 (-.f64 y x) 6)
19.0ms	(-.f64 2/3 z)

simplify130.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5014	1467

prune204.0ms (2.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

Compiler

Compiled 1921 to 1117 computations (41.9% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))

rewrite69.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-l_binary64_9567`
13×	`add-sqr-sqrt_binary64_9648`
11×	`add-log-exp_binary64_9665` `*-un-lft-identity_binary64_9626` `pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
9×	`add-cube-cbrt_binary64_9661`
8×	`associate-*l/_binary64_9569`
6×	`associate-*r/_binary64_9568`
4×	`flip3--_binary64_9630` `prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `flip--_binary64_9601` `flip-+_binary64_9600` `frac-add_binary64_9634` `sum-log_binary64_9717` `flip3-+_binary64_9629` `associate-r_binary64_9566` `cbrt-unprod_binary64_9659`
3×	`distribute-lft-neg-in_binary64_9583` `distribute-rgt-neg-in_binary64_9584`
2×	`distribute-lft-neg-out_binary64_9585` `+-commutative_binary64_9556` `*-commutative_binary64_9557`
1×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595` `unsub-neg_binary64_9620` `neg-mul-1_binary64_9622` `unswap-sqr_binary64_9594` `associate-+l+_binary64_9559`

Counts

4 → 79

Calls

4 calls:

18.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
16.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
13.0ms	(*.f64 (-.f64 y x) 6)
7.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series215.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
69.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
34.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
31.0ms	(*.f64 (-.f64 y x) 6)

simplify114.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4966	1542
1	4966	1542

prune161.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

Compiler

Compiled 2140 to 1100 computations (48.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
0.0b	(*.f64 6 (-.f64 2/3 z))
0.1b	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

rewrite76.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
33×	`cancel-sign-sub-inv_binary64_9592`
26×	`add-sqr-sqrt_binary64_9648`
24×	`*-un-lft-identity_binary64_9626`
18×	`add-cube-cbrt_binary64_9661`
16×	`associate-+r+_binary64_9558`
11×	`sub-neg_binary64_9619` `pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
10×	`associate-*r/_binary64_9568`
8×	`associate-l_binary64_9567` `flip3--_binary64_9630` `add-log-exp_binary64_9665` `flip--_binary64_9601`
6×	`associate-r_binary64_9566`
4×	`frac-times_binary64_9636` `prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
3×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595`
2×	`associate-l/_binary64_9569` `-commutative_binary64_9557`
1×	`diff-log_binary64_9718` `+-commutative_binary64_9556` `flip-+_binary64_9600` `unswap-sqr_binary64_9594` `sum-log_binary64_9717` `flip3-+_binary64_9629`

Counts

4 → 117

Calls

4 calls:

23.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))
14.0ms	(*.f64 6 (-.f64 2/3 z))
11.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
8.0ms	(-.f64 2/3 z)

series221.0ms (3%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
71.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))
39.0ms	(*.f64 6 (-.f64 2/3 z))
22.0ms	(-.f64 2/3 z)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5407	1715

prune208.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	129	8	137

Merged error: 0.0b

Counts

137 → 8

Compiler

Compiled 2249 to 1274 computations (43.4% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_9657`
23×	`add-sqr-sqrt_binary64_9648`
15×	`add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
11×	`pow1_binary64_9687`
9×	`pow1/3_binary64_9708`
6×	`associate-l_binary64_9567` `swap-sqr_binary64_9593` `add-exp-log_binary64_9664` `associate-r_binary64_9566`
4×	`add-log-exp_binary64_9665` `unswap-sqr_binary64_9594` `add-cbrt-cube_binary64_9662`
2×	`pow-prod-up_binary64_9696` `pow-prod-down_binary64_9697` `pow-sqr_binary64_9599`
1×	`pow2_binary64_9707` `pow-plus_binary64_9689` `prod-exp_binary64_9675` `*-commutative_binary64_9557` `cbrt-unprod_binary64_9659`

Counts

4 → 73

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series633.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
156.0ms	(cbrt.f64 z)
150.0ms	(cbrt.f64 z)
144.0ms	(cbrt.f64 z)

simplify113.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune151.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

Compiler

Compiled 2094 to 842 computations (59.8% saved)

regimes575.0ms (7.8%)

Compiler: Compiled 3617 to 2866 computations (20.8% saved)

bsearch0.0ms (0%)

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	257	22
1	257	22

end0.0ms (0%)

sample2.6s (35.9%)

Algorithm

1×

intervals

Results

859.0ms	7332×	body	128	valid
66.0ms	252×	body	1024	valid
49.0ms	248×	body	512	valid
44.0ms	624×	body	128	invalid
23.0ms	168×	body	256	valid

Compiler

Compiled 744 to 589 computations (20.8% saved)

Details

analyze759.0ms (10.3%)

sample40.0ms (0.5%)

simplify587.0ms (8%)

prune6.0ms (0.1%)

localize21.0ms (0.3%)

rewrite60.0ms (0.8%)

series190.0ms (2.6%)

simplify130.0ms (1.8%)

prune204.0ms (2.8%)

localize20.0ms (0.3%)

rewrite69.0ms (0.9%)

series215.0ms (2.9%)

simplify114.0ms (1.5%)

prune161.0ms (2.2%)

localize16.0ms (0.2%)

rewrite76.0ms (1%)

series221.0ms (3%)

simplify80.0ms (1.1%)

prune208.0ms (2.8%)

localize31.0ms (0.4%)

rewrite32.0ms (0.4%)

series633.0ms (8.6%)

simplify113.0ms (1.5%)

prune151.0ms (2%)

regimes575.0ms (7.8%)

bsearch0.0ms (0%)

simplify21.0ms (0.3%)

end0.0ms (0%)

sample2.6s (35.9%)

Profiling