Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

306×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	3
1	22	3
2	33	3
3	36	3
4	42	3
5	46	3
6	54	3
7	282	3
8	2072	3
9	5001	3

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: 14.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
13.8b	(/ (* x (+ y z)) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

6.0ms	(* x (+ y z))
10.0ms	(/ (* x (+ y z)) z)

series60.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ y z))
35.0ms	(/ (* x (+ y z)) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	226	206
1	1099	177
2	5001	177

prune94.0ms

Filtered

52 candidates to 35 candidates (67.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 0b

Counts

53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
2.9b	(/ x (/ z (+ y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 123

Calls

2 calls:

5.0ms	(/ z (+ y z))
8.0ms	(/ x (/ z (+ y z)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ z (+ y z))
49.0ms	(/ x (/ z (+ y z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	413	869
1	1890	835
2	5002	832

prune233.0ms

Filtered

129 candidates to 91 candidates (70.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	131	4	135

Merged error: 0b

Counts

135 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
2.9b	(/ x (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (+ y z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
16×	`add-cbrt-cube`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-undiv` `div-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `associate-/r/` `div-inv`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
13.0ms	(/ x (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (+ y z))))

series622.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
186.0ms	(cbrt z)
176.0ms	(cbrt z)
76.0ms	(/ x (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (+ y z))))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	266	452
1	1174	342
2	5002	316

prune149.0ms

Filtered

73 candidates to 52 candidates (71.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Merged error: 0b

Counts

77 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x y) z) x)
7.8b	(/ (* x y) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ (/ (* x y) z) x)
4.0ms	(/ (* x y) z)

series47.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (/ (* x y) z) x)
20.0ms	(/ (* x y) z)

simplify87.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	168	160
1	736	144
2	3353	142
3	5001	142

prune69.0ms

Filtered

39 candidates to 26 candidates (66.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	39	4	43

Merged error: 0b

Counts

43 → 4

regimes79.0ms

Accuracy

0.5% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch37.0ms

Steps

Iters	Range		Point
10	-1.4497606012047558e+156	-1.5054982703030158e+138	-4.6317606798968075e+138

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample404.0ms

Algorithm

intervals

Results

209.0ms

9631×

body

valid