Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

350×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1278	4
12	2173	4
13	3754	4
14	5001	4

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: 7.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
8.1b	(/ (* (- y x) z) t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

6.0ms	(* (- y x) z)
4.0ms	(+ x (/ (* (- y x) z) t))
7.0ms	(/ (* (- y x) z) t)

series105.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- y x) z)
36.0ms	(+ x (/ (* (- y x) z) t))
41.0ms	(/ (* (- y x) z) t)

simplify37.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune115.0ms

Filtered

66 candidates to 45 candidates (68.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	5	67

Merged error: 0.0b

Counts

67 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.5b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series80.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
45.0ms	(* (- y x) (/ z t))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune95.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	54	6	60

Merged error: 0b

Counts

60 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
8.0b	(/ (- y x) (/ t z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

18.0ms	(+ x (/ (- y x) (/ t z)))
8.0ms	(/ (- y x) (/ t z))

series78.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (/ (- y x) (/ t z)))
45.0ms	(/ (- y x) (/ t z))

simplify60.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	609	959
1	2199	914
2	5001	913

prune204.0ms

Filtered

120 candidates to 85 candidates (70.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	121	5	126

Merged error: 0b

Counts

126 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ (- y x) t) z))
0.0b	(/ (- y x) t)
4.7b	(* (/ (- y x) t) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-r` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

3.0ms	(+ x (* (/ (- y x) t) z))
5.0ms	(/ (- y x) t)
8.0ms	(* (/ (- y x) t) z)

series102.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (* (/ (- y x) t) z))
25.0ms	(/ (- y x) t)
44.0ms	(* (/ (- y x) t) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	347	496
1	1161	462
2	5001	450

prune139.0ms

Filtered

96 candidates to 66 candidates (68.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes89.0ms

Accuracy

-12.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 1.9b

bsearch44.0ms

Steps

Iters	Range		Point
3	7.34063468958014e-93	9.060069098410206e-93	8.675833174889401e-93
8	-9.391510906827498e-191	-8.06374648474135e-194	-5.43286468955906e-191

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms

sample620.0ms

Algorithm

intervals

Results

346.0ms

10664×

body

valid