Details

sample65.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
15.0ms	239×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	28	9
3	29	9
4	29	9

prune5.0ms

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: 1.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (neg g) h)) 3.0)
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-sub` `associate-/r*` `add-log-exp`
4×	`pow1` `associate-+r-` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`cos-diff` `frac-2neg` `clear-num`
1×	`+-commutative` `cos-sum` `distribute-rgt-out` `flip3-+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 76

Calls

4 calls:

3.0ms	(/ (acos (/ (neg g) h)) 3.0)
10.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
8.0ms	(/ (* 2.0 PI) 3.0)

series194.0ms

Counts

4 → 10

Calls

4 calls:

16.0ms	(/ (acos (/ (neg g) h)) 3.0)
131.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
46.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify118.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	318	666
1	1047	614
2	4381	614
3	5002	614

prune544.0ms

Filtered

86 candidates to 66 candidates (23.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
19×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`div-inv`
4×	`pow1`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-lft1-in` `flip3-+` `div-exp` `frac-add` `sum-log` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `sin-sum` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 67

Calls

4 calls:

4.0ms	(/ (* 2.0 PI) 3.0)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
9.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify99.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	234	454
1	822	413
2	3823	405
3	5002	405

prune510.0ms

Filtered

71 candidates to 56 candidates (21.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2.0 PI) (acos (/ (neg g) h)))
1.0b	(* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h))))
1.0b	(cos (* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-exp-log` `*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
8×	`add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`prod-exp`
3×	`flip3-+` `associate-r` `flip-+` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `associate-+r-` `cos-sum` `distribute-lft-in` `associate-*r/` `div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `acos-neg` `+-commutative` `acos-asin` `rec-exp` `1-exp` `distribute-frac-neg` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `div-inv`

Counts

3 → 63

Calls

3 calls:

4.0ms	(+ (* 2.0 PI) (acos (/ (neg g) h)))
12.0ms	(* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h))))
3.0ms	(cos (* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h)))))

series217.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (* 2.0 PI) (acos (/ (neg g) h)))
49.0ms	(* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h))))
140.0ms	(cos (* (/ 1 3.0) (+ (* 2.0 PI) (acos (/ (neg g) h)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	391	715
1	1867	632
2	5001	612

prune322.0ms

Filtered

72 candidates to 52 candidates (27.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0)))
1.0b	(+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))
1.0b	(/ (* 2.0 PI) 3.0)
1.6b	(pow (/ (* 2.0 PI) 3.0) 3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`unpow-prod-down` `cube-prod`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `associate-+r-` `div-sub` `div-exp`
3×	`pow-unpow` `pow-exp` `associate-/r*` `div-inv` `rem-cube-cbrt`
2×	`acos-neg` `cube-div` `acos-asin` `cos-diff` `distribute-frac-neg` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `pow-to-exp` `cbrt-div` `cos-sum` `pow-pow` `frac-2neg` `flip3-+` `unpow3` `frac-add` `clear-num` `sum-log` `flip-+` `distribute-lft-out` `associate-/l*` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

24.0ms	(cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0)))
17.0ms	(+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))
4.0ms	(/ (* 2.0 PI) 3.0)
5.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

series179.0ms

Counts

4 → 8

Calls

4 calls:

134.0ms	(cos (+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0)))
45.0ms	(+ (cbrt (pow (/ (* 2.0 PI) 3.0) 3)) (/ (acos (/ (neg g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(pow (/ (* 2.0 PI) 3.0) 3)

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	384	664
1	1738	577
2	5001	573

prune575.0ms

Filtered

90 candidates to 60 candidates (33.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Merged error: 0.0b

Counts

95 → 5

regimes613.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample1.6s

Algorithm

intervals

Results

604.0ms	8000×	body	80	valid
477.0ms	7836×	body	80	nan

Details

sample65.0ms

simplify6.0ms

prune5.0ms

localize12.0ms

rewrite33.0ms

series194.0ms

simplify118.0ms

prune544.0ms

localize24.0ms

rewrite38.0ms

series0.0ms

simplify99.0ms

prune510.0ms

localize14.0ms

rewrite21.0ms

series217.0ms

simplify46.0ms

prune322.0ms

localize16.0ms

rewrite53.0ms

series179.0ms

simplify54.0ms

prune575.0ms

regimes613.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling