Details

sample148.0ms

Algorithm

intervals

Results

43.0ms	547×	body	80	valid
37.0ms	525×	body	80	nan

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5189	17

prune14.0ms

Filtered

1 candidates to 1 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 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

6.0ms	(pow (exp (/ t 2.0)) t)
9.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
12.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

series75.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(pow (exp (/ t 2.0)) t)
25.0ms	(* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t))
46.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp (/ t 2.0)) t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4964	1129
1	4964	1129

prune242.0ms

Filtered

65 candidates to 86 candidates (-32.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	76	10	86
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	77	11	88

Merged error: 0.1b

Counts

88 → 11

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)))

rewrite31.0ms

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×	`associate-l` `pow-prod-down`
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 → 77

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
13.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
43.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
4.0ms	(exp (/ (* t t) 2.0))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4962	983
1	4962	983

prune191.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	5	5	10
Picked	0	1	1
Done	0	0	0
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (/ t 2.0)) t)
0.0b	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
0.3b	(* (- (* x 0.5) y) (* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
0.4b	(* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
30×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
16×	`associate-l`
14×	`pow-pow`
13×	`exp-prod`
12×	`pow1`
10×	`cbrt-unprod`
9×	`times-frac` `sqrt-prod`
8×	`unpow-prod-down` `associate-r`
6×	`unswap-sqr`
4×	`pow-to-exp` `pow-prod-down` `pow-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `*-commutative`
2×	`associate-*l/`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 107

Calls

4 calls:

5.0ms	(pow (exp (/ t 2.0)) t)
8.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
13.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
9.0ms	(* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp (/ t 2.0)) t)
7.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
53.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
24.0ms	(* (sqrt z) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4971	1585
1	4971	1585

prune265.0ms

Filtered

83 candidates to 119 candidates (-43.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	119	10	129

Merged error: 0.0b

Counts

129 → 10

localize224.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (/ t 2.0)) t)
0.0b	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
0.4b	(* (sqrt z) (* (- (* x 0.5) y) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
0.4b	(* (- (* x 0.5) y) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
30×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
16×	`associate-l`
14×	`pow-pow`
13×	`exp-prod`
12×	`pow1`
10×	`cbrt-unprod`
9×	`times-frac` `sqrt-prod`
8×	`unpow-prod-down` `associate-r`
6×	`unswap-sqr`
4×	`pow-to-exp` `pow-prod-down` `associate-*l/` `pow-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `*-commutative`
2×	`flip3--` `associate-*r/` `flip--`
1×	`div-inv`

Counts

4 → 109

Calls

4 calls:

6.0ms	(pow (exp (/ t 2.0)) t)
8.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
15.0ms	(* (sqrt z) (* (- (* x 0.5) y) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
13.0ms	(* (- (* x 0.5) y) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp (/ t 2.0)) t)
8.0ms	(* (pow (exp (/ t 2.0)) t) (sqrt 2.0))
62.0ms	(* (sqrt z) (* (- (* x 0.5) y) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0))))
29.0ms	(* (- (* x 0.5) y) (* (pow (exp (/ t 2.0)) t) (sqrt 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4976	1624
1	4976	1624

prune240.0ms

Filtered

84 candidates to 121 candidates (-44.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	123	8	131

Merged error: 0.0b

Counts

131 → 8

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	17
1	29	17

end0.0ms

sample3.6s

Algorithm

intervals

Results

980.0ms	18039×	body	80	valid
971.0ms	17763×	body	80	nan

Details

sample148.0ms

simplify89.0ms

prune14.0ms

localize15.0ms

rewrite29.0ms

series75.0ms

simplify50.0ms

prune242.0ms

localize13.0ms

rewrite31.0ms

series65.0ms

simplify56.0ms

prune191.0ms

localize17.0ms

rewrite39.0ms

series88.0ms

simplify69.0ms

prune265.0ms

localize224.0ms

rewrite45.0ms

series104.0ms

simplify59.0ms

prune240.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Profiling