Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	3
14	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
5.3b	(fma (/ (- y x) t) z x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

6.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series59.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- y x) t)
34.0ms	(fma (/ (- y x) t) z x)

simplify46.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	194	271
1	528	254
2	1881	245
3	5002	245

prune126.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	50	8	58

Merged error: 0.0b

Counts

58 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) t)
0.0b	(+ (* (/ (- y x) t) z) x)
6.2b	(* (/ (- y x) t) z)

rewrite25.0ms

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×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 94

Calls

3 calls:

6.0ms	(/ (- y x) t)
7.0ms	(+ (* (/ (- y x) t) z) x)
9.0ms	(* (/ (- y x) t) z)

series101.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- y x) t)
34.0ms	(+ (* (/ (- y x) t) z) x)
42.0ms	(* (/ (- y x) t) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	358	520
1	1176	485
2	5001	470

prune185.0ms

Filtered

103 candidates to 73 candidates (70.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Merged error: 0.0b

Counts

111 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- y x) (/ z t)) x)
5.2b	(* (- y x) (/ z t))

rewrite21.0ms

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×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

10.0ms	(+ (* (- y x) (/ z t)) x)
10.0ms	(* (- y x) (/ z t))

series73.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (- y x) (/ z t)) x)
41.0ms	(* (- y x) (/ z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	306	328
1	1261	304
2	5001	289

prune119.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	61	8	69

Merged error: 0b

Counts

69 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

1.7b	(fma (- y x) (/ z t) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

3.0ms

(fma (- y x) (/ z t) x)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma (- y x) (/ z t) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1248	53
4	5003	53

prune22.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	13	8	21

Merged error: 0b

Counts

21 → 8

regimes165.0ms

Accuracy

56% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms

sample537.0ms

Algorithm

intervals

Results

274.0ms

10619×

body

valid