Details

sample71.0ms

Algorithm

intervals

Results

25.0ms	369×	body	80	valid
23.0ms	345×	body	80	nan

simplify61.0ms

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: 5.3b

Counts

2 → 1

localize17.0ms

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))
4.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite37.0ms

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)) 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:

432.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
412.0ms	(- (* (- x 0.5) (log x)) x)
249.0ms	(* (- x 0.5) (log x))
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (41.0ms)

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

prune366.0ms

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: 4.7b

Counts

111 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
0.2b	(/ 1 (/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333)))
4.8b	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
66×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
62×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
12×	`log-prod`
11×	`associate-/r/`
8×	`pow1` `div-exp`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `div-inv` `associate-/l*` `add-log-exp`
5×	`flip3-+` `associate-l` `flip-+`
4×	`cbrt-undiv` `associate-r`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `flip--`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 160

Calls

4 calls:

7.0ms	(- (* (- x 0.5) (log x)) x)
7.0ms	(* (- x 0.5) (log x))
18.0ms	(/ 1 (/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333)))
12.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

series894.0ms

Counts

4 → 12

Calls

4 calls:

426.0ms	(- (* (- x 0.5) (log x)) x)
258.0ms	(* (- x 0.5) (log x))
92.0ms	(/ 1 (/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333)))
117.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

simplify87.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	712	1898
1	3119	1736
2	5002	1656

prune433.0ms

Filtered

172 candidates to 102 candidates (59.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	171	10	181

Merged error: 4.6b

Counts

181 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.7b	(/ (+ (* (- (* (+ 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)

series618.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
178.0ms	(cbrt x)
178.0ms	(cbrt x)
81.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify104.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (97.0ms)

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

prune321.0ms

Filtered

74 candidates to 62 candidates (83.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	74	10	84

Merged error: 4.6b

Counts

84 → 10

localize20.0ms

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)))
4.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite48.0ms

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))
7.0ms	(* (log (sqrt x)) (- x 0.5))
8.0ms	(* (- x 0.5) (log (sqrt x)))
15.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series459.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
100.0ms	(* (log (sqrt x)) (- x 0.5))
98.0ms	(* (- x 0.5) (log (sqrt x)))
86.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify92.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (72.0ms)

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

prune430.0ms

Filtered

142 candidates to 102 candidates (71.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	142	10	152

Merged error: 4.6b

Counts

152 → 10

regimes313.0ms

Accuracy

0% (2.4b remaining)

Error of 6.1b against oracle of 3.6b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

end0.0ms

sample2.0s

Algorithm

intervals

Results

794.0ms	11629×	body	80	valid
702.0ms	11595×	body	80	nan

Details

sample71.0ms

simplify61.0ms

prune3.0ms

localize17.0ms

rewrite37.0ms

series1.2s

simplify52.0ms

prune366.0ms

localize18.0ms

rewrite49.0ms

series894.0ms

simplify87.0ms

prune433.0ms

localize24.0ms

rewrite16.0ms

series618.0ms

simplify104.0ms

prune321.0ms

localize20.0ms

rewrite48.0ms

series459.0ms

simplify92.0ms

prune430.0ms

regimes313.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling