Details

analyze1.0s (24.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2950	133
1	2950	133
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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	91×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

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

Error

6.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
0.0b	(-.f64 (*.f64 z z) t)
5.7b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cancel-sign-sub-inv_binary64_16412`
11×	`add-sqr-sqrt_binary64_16468`
9×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
8×	`add-exp-log_binary64_16484` `pow1_binary64_16507` `distribute-rgt-in_binary64_16396` `associate--r+_binary64_16382` `distribute-lft-in_binary64_16395` `add-cbrt-cube_binary64_16482`
7×	`add-log-exp_binary64_16485`
6×	`sub-neg_binary64_16439`
4×	`associate-r_binary64_16386`
3×	`pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495` `flip3--_binary64_16450` `flip--_binary64_16421`
2×	`associate-*r/_binary64_16388` `diff-log_binary64_16538` `difference-of-squares_binary64_16415`
1×	`-commutative_binary64_16377` `associate-l*_binary64_16387`

Counts

3 → 64

Calls

3 calls:

14.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
6.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
4.0ms	(-.f64 (*.f64 z z) t)

series133.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

67.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
51.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
15.0ms	(-.f64 (*.f64 z z) t)

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4904	1145
1	4904	1145

prune72.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	64	9	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	9	74

Error

2.5b

Counts

74 → 9

Compiler

Compiled 1499 to 646 computations (56.9% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (.f64 t -4))))
0.0b	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (*.f64 t -4)))
8.7b	(.f64 (.f64 y 4) (*.f64 z z))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_16484` `pow1_binary64_16507` `add-cbrt-cube_binary64_16482`
10×	`add-log-exp_binary64_16485`
8×	`pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495`
5×	`add-sqr-sqrt_binary64_16468`
4×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
3×	`cancel-sign-sub-inv_binary64_16412`
2×	`diff-log_binary64_16538` `sum-log_binary64_16537`
1×	`+-commutative_binary64_16376` `-commutative_binary64_16377` `flip3-+_binary64_16449` `associate--r+_binary64_16382` `flip-+_binary64_16420` `sub-neg_binary64_16439` `flip3--_binary64_16450` `associate-r_binary64_16386` `associate-l*_binary64_16387` `flip--_binary64_16421` `difference-of-squares_binary64_16415`

Counts

3 → 50

Calls

3 calls:

10.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (.f64 t -4))))
9.0ms	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (*.f64 t -4)))
7.0ms	(.f64 (.f64 y 4) (*.f64 z z))

series156.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

65.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (.f64 t -4))))
65.0ms	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 y (*.f64 t -4)))
26.0ms	(.f64 (.f64 y 4) (*.f64 z z))

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5827	1003

prune57.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	62	6	68

Error

0.0b

Counts

68 → 6

Compiler

Compiled 1263 to 624 computations (50.6% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (.f64 t -4))))
0.0b	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (*.f64 t -4)))
0.2b	(.f64 (.f64 (*.f64 y 4) z) z)

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64_16484` `pow1_binary64_16507` `add-cbrt-cube_binary64_16482`
10×	`add-log-exp_binary64_16485`
6×	`pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495` `add-sqr-sqrt_binary64_16468`
5×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
3×	`cancel-sign-sub-inv_binary64_16412` `associate-r_binary64_16386`
2×	`diff-log_binary64_16538` `sum-log_binary64_16537`
1×	`+-commutative_binary64_16376` `-commutative_binary64_16377` `flip3-+_binary64_16449` `associate--r+_binary64_16382` `flip-+_binary64_16420` `sub-neg_binary64_16439` `flip3--_binary64_16450` `associate-l*_binary64_16387` `flip--_binary64_16421` `difference-of-squares_binary64_16415`

Counts

3 → 49

Calls

3 calls:

10.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (.f64 t -4))))
8.0ms	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (*.f64 t -4)))
7.0ms	(.f64 (.f64 (*.f64 y 4) z) z)

series156.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

73.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (.f64 t -4))))
58.0ms	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 y (*.f64 t -4)))
26.0ms	(.f64 (.f64 (*.f64 y 4) z) z)

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5741	1004

prune58.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	57	7	64

Error

0.0b

Counts

64 → 7

Compiler

Compiled 1276 to 655 computations (48.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (.f64 (.f64 y 4) z))) (cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z))))
22.2b	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z)))
22.2b	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z)))
22.2b	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z)))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_16507`
10×	`add-sqr-sqrt_binary64_16468`
9×	`pow1/3_binary64_16528`
8×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
7×	`cbrt-prod_binary64_16477`
6×	`add-exp-log_binary64_16484`
4×	`add-log-exp_binary64_16485` `swap-sqr_binary64_16413` `add-cbrt-cube_binary64_16482` `associate-r_binary64_16386` `associate-l_binary64_16387`
2×	`pow-sqr_binary64_16419` `pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516`
1×	`pow-plus_binary64_16509` `unswap-sqr_binary64_16414` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377` `prod-exp_binary64_16495` `pow2_binary64_16527`

Counts

4 → 58

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 (.f64 y 4) z))) (cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z))))
5.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z)))
5.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z)))
5.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z)))

series392.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 (.f64 y 4) z))) (cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z))))
93.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z)))
93.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z)))
89.0ms	(cbrt.f64 (.f64 z (.f64 (*.f64 y 4) z)))

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4892	954
1	4892	954

prune109.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	70	7	77

Error

0.0b

Counts

77 → 7

Compiler

Compiled 2580 to 1642 computations (36.4% saved)

regimes464.0ms (10.8%)

Accuracy

Total 0.1b remaining (77.3%)

Threshold costs 0.1b (77.3%)

Compiler

Compiled 5476 to 3949 computations (27.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	115	25
1	115	25

end0.0ms (0%)

sample1.1s (25.6%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
117.0ms	2951×	body	128	invalid

Compiler

Compiled 473 to 348 computations (26.4% saved)

Details

analyze1.0s (24.3%)

sample26.0ms (0.6%)

simplify51.0ms (1.2%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series133.0ms (3.1%)

simplify72.0ms (1.7%)

prune72.0ms (1.7%)

localize11.0ms (0.2%)

rewrite31.0ms (0.7%)

series156.0ms (3.6%)

simplify79.0ms (1.8%)

prune57.0ms (1.3%)

localize14.0ms (0.3%)

rewrite29.0ms (0.7%)

series156.0ms (3.6%)

simplify80.0ms (1.9%)

prune58.0ms (1.3%)

localize15.0ms (0.3%)

rewrite29.0ms (0.7%)

series392.0ms (9.1%)

simplify77.0ms (1.8%)

prune109.0ms (2.5%)

regimes464.0ms (10.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (25.6%)

Profiling