Details

sample53.0ms

Algorithm

intervals

Results

9.0ms	237×	body	80	valid
3.0ms	20×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	14×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	1×	body	2560	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	44	6
2	122	6
3	327	6
4	868	6
5	1727	6
6	3544	6
7	5001	6

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 17.2b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.8b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.8b	(* (- y z) (/ (- t x) (- a z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

7.0ms	(/ (- t x) (- a z))
3.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms	(* (- y z) (/ (- t x) (- a z)))

series104.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (- t x) (- a z))
55.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
35.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	473	869
1	2012	820
2	5002	820

prune191.0ms

Filtered

128 candidates to 88 candidates (31.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	114	14	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	14	129

Merged error: 4.9b

Counts

129 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
9.9b	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
3.0ms	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series130.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- t x))
26.0ms	(cbrt (- t x))
26.0ms	(cbrt (- t x))
52.0ms	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify36.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	260	701
1	807	613
2	5002	579

prune155.0ms

Filtered

68 candidates to 57 candidates (16.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	67	15	82

Merged error: 3.4b

Counts

82 → 15

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- t x)))
0.6b	(cbrt (cbrt (- t x)))
0.6b	(cbrt (cbrt (- t x)))
10.7b	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))) (cbrt (cbrt (- t x)))) (cbrt (- a z)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-div`
10×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (cbrt (- t x)))
4.0ms	(cbrt (cbrt (- t x)))
5.0ms	(cbrt (cbrt (- t x)))
3.0ms	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))) (cbrt (cbrt (- t x)))) (cbrt (- a z)))))

series133.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (cbrt (- t x)))
27.0ms	(cbrt (cbrt (- t x)))
28.0ms	(cbrt (cbrt (- t x)))
52.0ms	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))) (cbrt (cbrt (- t x)))) (cbrt (- a z)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	279	998
1	865	918
2	5002	886

prune165.0ms

Filtered

77 candidates to 65 candidates (15.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	77	15	92

Merged error: 3.4b

Counts

92 → 15

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- t x)))
0.6b	(cbrt (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))))
0.6b	(cbrt (cbrt (cbrt (- t x))))
10.4b	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))) (* (cbrt (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x))))) (cbrt (cbrt (cbrt (- t x)))))) (cbrt (- a z)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-div`
38×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `frac-times` `add-cbrt-cube`
3×	`pow1/3`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 67

Calls

4 calls:

4.0ms	(cbrt (cbrt (- t x)))
10.0ms	(cbrt (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))))
4.0ms	(cbrt (cbrt (cbrt (- t x))))
3.0ms	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))) (* (cbrt (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x))))) (cbrt (cbrt (cbrt (- t x)))))) (cbrt (- a z)))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (cbrt (- t x)))
30.0ms	(cbrt (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))))
28.0ms	(cbrt (cbrt (cbrt (- t x))))
52.0ms	(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x)))) (* (cbrt (* (cbrt (cbrt (- t x))) (cbrt (cbrt (- t x))))) (cbrt (cbrt (cbrt (- t x)))))) (cbrt (- a z)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	471	1366
1	1298	1254
2	5002	1222

prune121.0ms

Filtered

79 candidates to 66 candidates (16.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	14	14
Picked	1	0	1
Done	0	0	0
Total	79	15	94

Merged error: 3.4b

Counts

94 → 15

regimes877.0ms

Accuracy

65.7% (4.0b remaining)

Error of 7.4b against oracle of 3.4b and baseline of 15.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	56
1	51	56

end0.0ms

sample909.0ms

Algorithm

intervals

Results

311.0ms	7764×	body	80	valid
71.0ms	486×	body	640	valid
45.0ms	258×	body	1280	valid
41.0ms	386×	body	320	valid
22.0ms	299×	body	160	valid
6.0ms	16×	body	2560	valid

Details

sample53.0ms

simplify75.0ms

prune4.0ms

localize14.0ms

rewrite33.0ms

series104.0ms

simplify56.0ms

prune191.0ms

localize17.0ms

rewrite13.0ms

series130.0ms

simplify36.0ms

prune155.0ms

localize23.0ms

rewrite18.0ms

series133.0ms

simplify39.0ms

prune165.0ms

localize31.0ms

rewrite24.0ms

series135.0ms

simplify48.0ms

prune121.0ms

regimes877.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample909.0ms

Profiling