Details

sample71.0ms

Algorithm

intervals

Results

24.0ms	373×	body	80	valid
21.0ms	377×	body	80	nan

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	12
1	84	12
2	245	12
3	581	12
4	1280	12
5	2462	12
6	5001	12

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 8.0b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
7.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms	(- (* (- x 0.5) (log x)) x)
7.0ms	(* (- x 0.5) (log x))
13.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

457.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
430.0ms	(- (* (- x 0.5) (log x)) x)
268.0ms	(* (- x 0.5) (log x))
90.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	501	839
1	1642	776
2	5002	763

prune392.0ms

Filtered

110 candidates to 84 candidates (76.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	97	13	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	13	111

Merged error: 7.0b

Counts

111 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(* (- x 0.5) (log x))
0.3b	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
7.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
12×	`log-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `times-frac` `add-log-exp`
8×	`associate-l` `associate-*l/`
7×	`associate-r`
6×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `flip--`
4×	`frac-add`
3×	`associate-/r` `associate-/l`
2×	`associate-+r+` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `log-pow` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

9.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
6.0ms	(* (- x 0.5) (log x))
10.0ms	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series829.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
257.0ms	(* (- x 0.5) (log x))
442.0ms	(+ (* (- x 0.5) (log x)) (- 0.91893853320467 x))
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify71.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	664	945
1	2510	865
2	5001	860

prune368.0ms

Filtered

115 candidates to 86 candidates (74.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	116	12	128

Merged error: 7.0b

Counts

128 → 12

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
7.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
12.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series659.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt x)
196.0ms	(cbrt x)
188.0ms	(cbrt x)
86.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify107.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	212	462
1	697	420
2	3307	413
3	5001	410

prune364.0ms

Filtered

74 candidates to 62 candidates (83.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	74	12	86

Merged error: 7.0b

Counts

86 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
0.2b	(* (log (sqrt x)) (- x 0.5))
0.2b	(* (- x 0.5) (log (sqrt x)))
7.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt` `log-prod`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1` `associate-+l+` `sqrt-prod`
11×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac` `add-log-exp`
6×	`associate-+r+` `flip3--` `associate-*l/` `log-pow` `flip--`
5×	`sub-neg`
4×	`frac-add` `associate--l+`
3×	`associate-/r` `associate-/l`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `pow-prod-down` `prod-exp` `sum-log` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 130

Calls

4 calls:

14.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
8.0ms	(* (log (sqrt x)) (- x 0.5))
8.0ms	(* (- x 0.5) (log (sqrt x)))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series488.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
105.0ms	(* (log (sqrt x)) (- x 0.5))
112.0ms	(* (- x 0.5) (log (sqrt x)))
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	687	1420
1	2899	1288
2	5003	1252

prune468.0ms

Filtered

142 candidates to 102 candidates (71.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	142	12	154

Merged error: 7.0b

Counts

154 → 12

regimes375.0ms

Accuracy

0% (1.1b remaining)

Error of 5.9b against oracle of 4.8b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	18
1	30	18

end0.0ms

sample2.0s

Algorithm

intervals

Results

797.0ms	11750×	body	80	valid
713.0ms	11726×	body	80	nan

Details

sample71.0ms

simplify57.0ms

prune3.0ms

localize23.0ms

rewrite39.0ms

series1.2s

simplify51.0ms

prune392.0ms

localize16.0ms

rewrite45.0ms

series829.0ms

simplify71.0ms

prune368.0ms

localize30.0ms

rewrite17.0ms

series659.0ms

simplify107.0ms

prune364.0ms

localize19.0ms

rewrite45.0ms

series488.0ms

simplify100.0ms

prune468.0ms

regimes375.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling