Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

307×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 12.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
11.7b	(/ (* x (+ y z)) z)

rewrite13.0ms

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ y z))
39.0ms	(/ (* x (+ y z)) z)

simplify34.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

prune78.0ms

Filtered

52 candidates to 35 candidates (67.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
1.5b	(/ x (/ z (+ y z)))

rewrite22.0ms

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)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ z (+ y z))
44.0ms	(/ x (/ z (+ y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (40.0ms)

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

prune195.0ms

Filtered

129 candidates to 91 candidates (70.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	129	4	133

Merged error: 0b

Counts

133 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
1.7b	(* x (/ (+ y z) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

5.0ms	(/ (+ y z) z)
9.0ms	(* x (/ (+ y z) z))

series56.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ (+ y z) z)
39.0ms	(* x (/ (+ y z) z))

simplify85.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	233	344
1	1013	313
2	3962	313
3	5001	313

prune91.0ms

Filtered

74 candidates to 49 candidates (66.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Merged error: 0b

Counts

78 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x y) z) x)
5.6b	(/ (* x y) z)

rewrite13.0ms

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)

simplify80.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

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

prune48.0ms

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

regimes78.0ms

Accuracy

21.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.9b

bsearch50.0ms

Steps

Iters	Range		Point
8	2.6683108363431484e-18	1.2261953182377537e-15	4.093427711905186e-16
7	3.925728988489282e-271	2.0912797158064695e-269	2.0734916858130907e-270

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	6
1	21	6

end0.0ms

sample393.0ms

Algorithm

intervals

Results

205.0ms

9556×

body

valid