Details

analyze758.0ms (19%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1579	112
1	1579	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Symmetry

sort(y z)

Compiler

Compiled 14 to 14 computations (0% saved)

sample31.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	255×	body	128	valid
1.0ms	35×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify22.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	417	16
1	417	16

prune8.0ms (0.2%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 y z) 2)
0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)

rewrite59.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`*-un-lft-identity_binary64_15764` `associate-+l+_binary64_15697`
7×	`add-log-exp_binary64_15803` `add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800` `cancel-sign-sub-inv_binary64_15730`
6×	`add-cube-cbrt_binary64_15799` `add-sqr-sqrt_binary64_15786` `times-frac_binary64_15770`
3×	`associate-/r*_binary64_15708`
2×	`sum-log_binary64_15855` `pow1_binary64_15825` `div-inv_binary64_15761` `div-exp_binary64_15815` `cbrt-undiv_binary64_15798`
1×	`diff-log_binary64_15856` `flip3-+_binary64_15767` `flip-+_binary64_15738` `distribute-lft-out_binary64_15715` `associate-+l-_binary64_15699` `sub-neg_binary64_15757` `+-commutative_binary64_15694` `prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `frac-2neg_binary64_15775` `clear-num_binary64_15763` `associate-/l*_binary64_15709`

Counts

2 → 43

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
4.0ms	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 777 to 489 computations (37.1% saved)

series280.0ms (7%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

212.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
49.0ms	(/.f64 (*.f64 y z) 2)

Compiler

Compiled 702 to 615 computations (12.4% saved)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5026	899

prune58.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Error

0.0b

Counts

74 → 3

Compiler

Compiled 941 to 571 computations (39.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
0.3b	(/.f64 y (/.f64 2 z))

rewrite178.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

141×	`times-frac_binary64_15770`
81×	`*-un-lft-identity_binary64_15764`
79×	`add-cube-cbrt_binary64_15799` `add-sqr-sqrt_binary64_15786`
45×	`associate-+l+_binary64_15697`
44×	`cancel-sign-sub-inv_binary64_15730`
13×	`associate-/r*_binary64_15708`
9×	`div-inv_binary64_15761`
7×	`add-exp-log_binary64_15802` `add-log-exp_binary64_15803` `add-cbrt-cube_binary64_15800`
3×	`div-exp_binary64_15815` `cbrt-undiv_binary64_15798` `associate-/l*_binary64_15709`
2×	`pow1_binary64_15825` `associate-/r/_binary64_15710` `sum-log_binary64_15855`
1×	`frac-2neg_binary64_15775` `clear-num_binary64_15763` `diff-log_binary64_15856` `flip3-+_binary64_15767` `flip-+_binary64_15738` `distribute-lft-out_binary64_15715` `associate-+l-_binary64_15699` `sub-neg_binary64_15757` `+-commutative_binary64_15694`

Counts

2 → 129

Calls

2 calls:

18.0ms	(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
8.0ms	(/.f64 y (/.f64 2 z))

Compiler

Compiled 2765 to 1736 computations (37.2% saved)

series274.0ms (6.9%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

202.0ms	(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
56.0ms	(/.f64 y (/.f64 2 z))

Compiler

Compiled 702 to 615 computations (12.4% saved)

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5009	2591

prune132.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	159	3	162

Error

0.0b

Counts

162 → 3

Compiler

Compiled 2546 to 1518 computations (40.4% saved)

localize16.0ms (0.4%)

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)

rewrite87.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_15795`
23×	`add-sqr-sqrt_binary64_15786`
15×	`add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
11×	`pow1_binary64_15825`
9×	`pow1/3_binary64_15846`
6×	`add-exp-log_binary64_15802` `swap-sqr_binary64_15731` `associate-l_binary64_15705` `associate-r_binary64_15704`
4×	`add-log-exp_binary64_15803` `add-cbrt-cube_binary64_15800` `unswap-sqr_binary64_15732`
2×	`pow-prod-down_binary64_15835` `pow-prod-up_binary64_15834` `pow-sqr_binary64_15737`
1×	`pow2_binary64_15845` `pow-plus_binary64_15827` `prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `*-commutative_binary64_15695`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1670 to 746 computations (55.3% saved)

series323.0ms (8.1%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
78.0ms	(cbrt.f64 y)
72.0ms	(cbrt.f64 y)
70.0ms	(cbrt.f64 y)

Compiler

Compiled 735 to 588 computations (20% saved)

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune79.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Error

0.0b

Counts

88 → 3

Compiler

Compiled 1743 to 897 computations (48.5% saved)

regimes375.0ms (9.4%)

Accuracy

Total 0.0b remaining (60%)

Threshold costs 0.0b (60%)

Compiler

Compiled 3300 to 2981 computations (9.7% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	48	16

Removed

((sort y z))

Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

sample1.1s (26.9%)

Algorithm

1×

intervals

Results

318.0ms	7997×	body	128	valid
42.0ms	1144×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 385 to 347 computations (9.9% saved)

Details

analyze758.0ms (19%)

sample31.0ms (0.8%)

simplify22.0ms (0.6%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

rewrite59.0ms (1.5%)

series280.0ms (7%)

simplify62.0ms (1.6%)

prune58.0ms (1.5%)

localize8.0ms (0.2%)

rewrite178.0ms (4.5%)

series274.0ms (6.9%)

simplify70.0ms (1.8%)

prune132.0ms (3.3%)

localize16.0ms (0.4%)

rewrite87.0ms (2.2%)

series323.0ms (8.1%)

simplify77.0ms (1.9%)

prune79.0ms (2%)

regimes375.0ms (9.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.1s (26.9%)

Profiling