Details

sample79.0ms

Algorithm

intervals

Results

25.0ms	502×	body	80	valid
21.0ms	504×	body	80	nan

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	9
1	43	9
2	92	9
3	186	9
4	341	9
5	703	9
6	2167	9
7	5001	9

prune3.0ms

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: 0.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
14.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* t t) 2.0)
179.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
24.0ms	(exp (/ (* t t) 2.0))
111.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	463	658
1	1807	565
2	5001	558

prune291.0ms

Filtered

97 candidates to 75 candidates (77.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r`
10×	`prod-exp` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-to-exp` `exp-prod` `pow-exp` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

7.0ms	(pow (exp t) (/ t 2.0))
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series371.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(pow (exp t) (/ t 2.0))
209.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
112.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	513	701
1	2030	621
2	5001	617

prune290.0ms

Filtered

92 candidates to 70 candidates (76.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp t))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
0.0b	(* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
58×	`prod-exp`
51×	`add-sqr-sqrt`
44×	`unpow-prod-down`
26×	`sqrt-prod`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
18×	`pow-to-exp` `pow-exp`
17×	`unswap-sqr`
15×	`associate-r`
14×	`associate-l`
12×	`pow1` `swap-sqr` `sqr-pow`
10×	`cbrt-unprod`
6×	`associate-*l/`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`flip3--` `flip--`
1×	`pow2` `rem-sqrt-square` `pow1/2` `pow-sqr` `pow-prod-up`

Counts

4 → 153

Calls

4 calls:

2.0ms	(sqrt (exp t))
18.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
11.0ms	(* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0)))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (exp t))
315.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0))))
73.0ms	(* (pow (sqrt (exp t)) (/ t 2.0)) (pow (sqrt (exp t)) (/ t 2.0)))
114.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify111.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	569	1772
1	2273	1530
2	5001	1507

prune415.0ms

Filtered

165 candidates to 91 candidates (55.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	165	8	173

Merged error: 0.0b

Counts

173 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

17.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
9.0ms	(* (- (* x 0.5) y) (sqrt z))
12.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series541.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
25.0ms	(exp (/ (* t t) 2.0))
70.0ms	(* (- (* x 0.5) y) (sqrt z))
175.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify85.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	441	852
1	1914	732
2	5001	718

prune294.0ms

Filtered

105 candidates to 72 candidates (68.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	106	7	113

Merged error: 0b

Counts

113 → 7

regimes596.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

791.0ms	18082×	body	80	valid
761.0ms	18223×	body	80	nan