Details

sample64.0ms

Algorithm

intervals

Results

22.0ms	364×	body	80	valid
19.0ms	421×	body	80	nan

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 7.5b

Counts

2 → 1

localize16.0ms

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))
0.2b	(- (* (- x 0.5) (log x)) x)
6.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite38.0ms

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:

9.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms	(* (- x 0.5) (log x))
6.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

414.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
256.0ms	(* (- x 0.5) (log x))
411.0ms	(- (* (- x 0.5) (log x)) x)
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (38.0ms)

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

prune385.0ms

Filtered

110 candidates to 84 candidates (76.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	98	12	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	12	111

Merged error: 6.5b

Counts

111 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(* (- x 0.5) (log (sqrt x)))
0.2b	(- (+ (* (- x 0.5) (log (sqrt x))) (* (- x 0.5) (log (sqrt x)))) x)
6.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

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

series458.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (- x 0.5) (log (sqrt x)))
101.0ms	(* (- x 0.5) (log (sqrt x)))
180.0ms	(- (+ (* (- x 0.5) (log (sqrt x))) (* (- x 0.5) (log (sqrt x)))) x)
81.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	474	1209
1	1746	1073
2	5003	1042

prune455.0ms

Filtered

131 candidates to 87 candidates (66.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	132	11	143

Merged error: 6.5b

Counts

143 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite16.0ms

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)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series612.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt x)
169.0ms	(cbrt x)
177.0ms	(cbrt x)
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	212	462
1	697	420
2	3321	413
3	5001	410

prune375.0ms

Filtered

74 candidates to 62 candidates (83.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	74	11	85

Merged error: 6.5b

Counts

85 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(pow (/ 1 x) -1/3)
6.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`unpow-prod-down`
11×	`add-exp-log`
6×	`pow1` `cbrt-prod` `add-cbrt-cube`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `div-exp` `associate-/r` `associate-/l`
2×	`pow1/3` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `inv-pow` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(pow (/ 1 x) -1/3)
15.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series618.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt x)
177.0ms	(cbrt x)
170.0ms	(pow (/ 1 x) -1/3)
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	365	576
1	1288	519
2	5001	507

prune411.0ms

Filtered

95 candidates to 69 candidates (72.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	96	10	106

Merged error: 6.5b

Counts

106 → 10

regimes358.0ms

Accuracy

0% (1.2b remaining)

Error of 6.3b against oracle of 5.0b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	26
1	43	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

614.0ms	11627×	body	80	valid
532.0ms	11619×	body	80	nan