Details

sample68.0ms

Algorithm

intervals

Results

19.0ms	375×	body	80	valid
18.0ms	417×	body	80	nan

simplify55.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite164.0ms

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:

24.0ms	(* (- x 0.5) (log x))
62.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
18.0ms	(- (* (- x 0.5) (log x)) x)
57.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (- x 0.5) (log x))
424.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
426.0ms	(- (* (- x 0.5) (log x)) x)
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (42.0ms)

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

prune422.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log x) (- x 0.5))
0.2b	(+ 0.91893853320467 (* (log x) (- x 0.5)))
0.2b	(- (+ 0.91893853320467 (* (log x) (- x 0.5))) x)
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

23.0ms	(* (log x) (- x 0.5))
8.0ms	(+ 0.91893853320467 (* (log x) (- x 0.5)))
29.0ms	(- (+ 0.91893853320467 (* (log x) (- x 0.5))) x)
53.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (log x) (- x 0.5))
407.0ms	(+ 0.91893853320467 (* (log x) (- x 0.5)))
418.0ms	(- (+ 0.91893853320467 (* (log x) (- x 0.5))) x)
77.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	480	767
1	1673	712
2	5001	706

prune534.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite60.0ms

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)
56.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series591.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
173.0ms	(cbrt x)
173.0ms	(cbrt x)
73.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify97.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (91.0ms)

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

prune372.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.0b	(pow x 1/3)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
6×	`cbrt-prod` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-/r` `associate-/l`
2×	`pow1/3` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `unpow1/3` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
56.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
3.0ms	(pow x 1/3)

series590.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt x)
172.0ms	(cbrt x)
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
165.0ms	(pow x 1/3)

simplify34.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	268	467
1	1047	415
2	5002	409

prune364.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

regimes371.0ms

Accuracy

0% (1.0b remaining)

Error of 5.9b against oracle of 4.9b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	22
1	39	22

end0.0ms

sample1.9s

Algorithm

intervals

Results

606.0ms	11762×	body	80	valid
535.0ms	11847×	body	80	nan