Details

sample93.0ms

Algorithm

intervals

Results

29.0ms	588×	body	80	valid
26.0ms	596×	body	80	nan

simplify87.0ms

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

localize15.0ms

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))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite37.0ms

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)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
190.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
117.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (60.0ms)

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

prune359.0ms

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

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`pow1`
20×	`add-exp-log`
16×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
14×	`add-cbrt-cube`
11×	`associate-r` `pow-prod-down`
10×	`associate-l` `prod-exp` `cbrt-unprod`
7×	`exp-prod`
6×	`pow1/3` `swap-sqr` `associate-*l/`
5×	`add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `*-commutative`
2×	`flip3--` `pow-sqr` `pow-prod-up` `flip--`
1×	`pow2` `pow-plus` `sqrt-prod` `div-inv` `rem-exp-log`

Counts

4 → 108

Calls

4 calls:

3.0ms	(exp (/ (* t t) 2.0))
19.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0)))))
10.0ms	(* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))
10.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series664.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(exp (/ (* t t) 2.0))
314.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0)))))
199.0ms	(* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))
121.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	485	1259
1	1860	1074
2	5001	1014

prune485.0ms

Filtered

120 candidates to 84 candidates (70.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Merged error: 0.0b

Counts

129 → 9

localize17.0ms

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))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite49.0ms

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))
14.0ms	(* (- (* x 0.5) y) (sqrt z))
12.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series476.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
73.0ms	(* (- (* x 0.5) y) (sqrt z))
150.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (67.0ms)

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

prune364.0ms

Filtered

105 candidates to 72 candidates (68.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	6	1	7
Picked	0	1	1
Done	0	1	1
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r`
22×	`sqrt-prod`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-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 → 102

Calls

4 calls:

3.0ms	(exp (/ (* t t) 2.0))
18.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
9.0ms	(* (- (* x 0.5) y) (sqrt z))
14.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (* t t) 2.0))
151.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
74.0ms	(* (- (* x 0.5) y) (sqrt z))
185.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	481	909
1	2058	769
2	5003	749

prune391.0ms

Filtered

114 candidates to 76 candidates (66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	115	7	122

Merged error: 0b

Counts

122 → 7

regimes515.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	20
1	23	20

end0.0ms

sample2.7s

Algorithm

intervals

Results

874.0ms	18205×	body	80	valid
827.0ms	18238×	body	80	nan