Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

285×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

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: 10.9b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.9b	(/ (* y (- z t)) (- z a))

rewrite16.0ms

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-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `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	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- z a))

series100.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- z t))
65.0ms	(/ (* y (- z t)) (- z a))

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	267	276
1	1217	239
2	5001	239

prune108.0ms

Filtered

61 candidates to 40 candidates (65.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	5	62

Merged error: 0.0b

Counts

62 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.5b	(* y (/ (- z t) (- z a)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
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-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z t) (- z a))
66.0ms	(* y (/ (- z t) (- z a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	351	647
1	1392	606
2	5002	606

prune186.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
2.8b	(/ y (/ (- z a) (- z t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

8.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- z a) (- z t))
119.0ms	(/ y (/ (- z a) (- z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	630	1780
1	2843	1729
2	5003	1726

prune360.0ms

Filtered

200 candidates to 132 candidates (66.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	201	4	205

Merged error: 0b

Counts

205 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.5b	(* y (* (- z t) (/ 1 (- z a))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

5.0ms	(/ 1 (- z a))
13.0ms	(* (- z t) (/ 1 (- z a)))
12.0ms	(* y (* (- z t) (/ 1 (- z a))))

series145.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- z a))
42.0ms	(* (- z t) (/ 1 (- z a)))
65.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify47.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	385	673
1	1779	564
2	5001	522

prune186.0ms

Filtered

128 candidates to 74 candidates (57.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	128	4	132

Merged error: 0b

Counts

132 → 4

regimes183.0ms

Accuracy

38.2% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.5b

bsearch81.0ms

Steps

Iters	Range		Point
9	9.917100192257252e-90	3.3242143547992065e-80	8.25686923738433e-81
8	-1.5479713170644658e-66	-1.772089544746266e-70	-5.014513524262091e-70

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

sample585.0ms

Algorithm

intervals

Results

321.0ms

8746×

body

valid