Details

sample66.0ms

Algorithm

intervals

Results

25.0ms	386×	body	80	valid
19.0ms	327×	body	80	nan

simplify52.0ms

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: 6.7b

Counts

2 → 1

localize19.0ms

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))
6.2b	(/ (+ (* (- (* (+ 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:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

437.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
411.0ms	(- (* (- x 0.5) (log x)) x)
256.0ms	(* (- x 0.5) (log x))
84.0ms	(/ (+ (* (- (* (+ 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

prune376.0ms

Filtered

110 candidates to 84 candidates (76.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	9	111

Merged error: 6.0b

Counts

111 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.2b	(/ (+ (* (- (* (+ 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)

series641.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt x)
198.0ms	(cbrt x)
182.0ms	(cbrt x)
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify106.0ms

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

prune324.0ms

Filtered

74 candidates to 62 candidates (83.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	74	9	83

Merged error: 6.0b

Counts

83 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(* (- x 0.5) (log x))
0.4b	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
6.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
34×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `sqrt-pow1`
24×	`add-cube-cbrt`
22×	`pow-prod-down`
18×	`associate-*l/`
14×	`associate-l`
12×	`add-exp-log` `log-prod` `sqrt-div` `associate-r` `add-cbrt-cube`
10×	`pow1/2` `pow-prod-up`
9×	`times-frac`
8×	`flip3--` `flip--`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-sqr`
4×	`frac-times` `swap-sqr` `sqrt-prod` `add-log-exp`
3×	`prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-*r/` `log-pow` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow2` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `div-exp` `clear-num` `rem-square-sqrt` `flip-+` `div-inv`

Counts

4 → 144

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
7.0ms	(* (- x 0.5) (log x))
15.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
12.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

436.0ms	(* (- x 0.5) (log x))
254.0ms	(* (- x 0.5) (log x))
278.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify85.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	720	1212
1	3025	1085
2	5001	1052

prune459.0ms

Filtered

156 candidates to 92 candidates (59.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	155	10	165

Merged error: 6.0b

Counts

165 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(* (- x 0.5) (log x))
0.5b	(* (sqrt (- (* (- x 0.5) (log x)) x)) (sqrt (- (* (- x 0.5) (log x)) x)))
6.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`pow1`
18×	`sqrt-prod`
16×	`associate-l`
14×	`associate-r`
12×	`add-exp-log` `log-prod` `sqrt-div` `add-cbrt-cube`
9×	`times-frac`
8×	`flip3--` `sqrt-pow1` `pow1/2` `swap-sqr` `flip--`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `unswap-sqr`
5×	`pow-prod-down` `pow-prod-up`
4×	`frac-times` `add-log-exp`
3×	`prod-exp` `associate-/r` `pow-sqr` `-commutative` `cbrt-unprod` `associate-/l*`
2×	`associate-*r/` `log-pow` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow2` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `div-exp` `clear-num` `rem-square-sqrt` `flip-+` `div-inv`

Counts

4 → 144

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
8.0ms	(* (- x 0.5) (log x))
22.0ms	(* (sqrt (- (* (- x 0.5) (log x)) x)) (sqrt (- (* (- x 0.5) (log x)) x)))
12.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (- x 0.5) (log x))
252.0ms	(* (- x 0.5) (log x))
427.0ms	(* (sqrt (- (* (- x 0.5) (log x)) x)) (sqrt (- (* (- x 0.5) (log x)) x)))
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	470	1278
1	1788	1143
2	5003	1111

prune400.0ms

Filtered

156 candidates to 92 candidates (59.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	156	10	166

Merged error: 6.0b

Counts

166 → 10

regimes294.0ms

Accuracy

0% (1.3b remaining)

Error of 6.1b against oracle of 4.8b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	18
1	29	18

end0.0ms

sample1.9s

Algorithm

intervals

Results

754.0ms	11634×	body	80	valid
672.0ms	11469×	body	80	nan