Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

257×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune2.0ms

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: 1.8b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
5.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-/r/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

5.0ms	(* 1.1283791670955126 (exp z))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* 1.1283791670955126 (exp z))
80.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify174.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	246	368
1	918	340
2	4291	339
3	5001	339

prune119.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Merged error: 1.7b

Counts

54 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
12×	`add-cbrt-cube`
8×	`div-exp`
6×	`pow1` `div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

3 → 124

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series133.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 1.1283791670955126 (exp z))
45.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
69.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	491	1293
1	2299	1166
2	5001	1098

prune190.0ms

Filtered

133 candidates to 78 candidates (58.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	135	2	137

Merged error: 0b

Counts

137 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l`
4×	`div-exp`
3×	`cbrt-undiv` `associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `flip--` `inv-pow`

Counts

3 → 92

Calls

3 calls:

4.0ms	(/ (exp z) y)
7.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series103.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (exp z) y)
61.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
23.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	369	622
1	1531	570
2	5002	552

prune164.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	101	2	103

Merged error: 0b

Counts

103 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
0.0b	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
0.1b	(* 0.5641895835477563 (pow z 2))
8.7b	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-log-exp`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log`
9×	`times-frac`
8×	`associate-r` `add-cbrt-cube`
6×	`sum-log`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`diff-log` `associate-l` `prod-exp` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `frac-2neg` `flip3-+` `div-exp` `pow-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 84

Calls

4 calls:

9.0ms	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
6.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
5.0ms	(* 0.5641895835477563 (pow z 2))
12.0ms	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
20.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
23.0ms	(* 0.5641895835477563 (pow z 2))
237.0ms	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	387	814
1	1555	749
2	5001	742

prune179.0ms

Filtered

96 candidates to 68 candidates (70.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0b

Counts

98 → 2

regimes55.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample482.0ms

Algorithm

intervals

Results

312.0ms

8001×

body

valid