Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

281×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	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: 2.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.4b	(* (/ (- x y) (- z y)) t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

9.0ms	(/ (- x y) (- z y))
12.0ms	(* (/ (- x y) (- z y)) t)

series150.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- x y) (- z y))
103.0ms	(* (/ (- x y) (- z y)) t)

simplify100.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	369	669
1	1149	628
2	4661	627
3	5001	627

prune218.0ms

Filtered

112 candidates to 76 candidates (67.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	7	113

Merged error: 0b

Counts

113 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))
2.4b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt` `associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 125

Calls

3 calls:

6.0ms	(/ 1 (- z y))
14.0ms	(* (- x y) (/ 1 (- z y)))
13.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series187.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- z y))
53.0ms	(* (- x y) (/ 1 (- z y)))
100.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify51.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	402	702
1	1906	585
2	5003	543

prune194.0ms

Filtered

134 candidates to 78 candidates (58.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	134	7	141

Merged error: 0b

Counts

141 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x y) t)
10.5b	(/ (* (- x y) t) (- z y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

6.0ms	(* (- x y) t)
13.0ms	(/ (* (- x y) t) (- z y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- x y) t)
63.0ms	(/ (* (- x y) t) (- z y))

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	265	278
1	1212	241
2	5001	241

prune102.0ms

Filtered

61 candidates to 45 candidates (73.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	61	7	68

Merged error: 0b

Counts

68 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- z y))
11.2b	(* (- x y) (/ t (- z y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-l` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 87

Calls

2 calls:

5.0ms	(/ t (- z y))
13.0ms	(* (- x y) (/ t (- z y)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ t (- z y))
69.0ms	(* (- x y) (/ t (- z y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	301	489
1	1365	452
2	5001	452

prune155.0ms

Filtered

93 candidates to 67 candidates (72.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	93	7	100

Merged error: 0b

Counts

100 → 7

regimes202.0ms

Accuracy

23.6% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample694.0ms

Algorithm

intervals

Results

479.0ms

8686×

body

valid

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4