Details

sample101.0ms

Algorithm

intervals

Results

26.0ms	587×	body	80	nan
25.0ms	620×	body	80	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

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))) (exp (/ (* t t) 2.0)))
0.2b	(sqrt (* z 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
102.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(sqrt (* z 2.0))
40.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(exp (/ (* t t) 2.0))
142.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
46.0ms	(sqrt (* z 2.0))
91.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	459	597
1	1736	509
2	5001	502

prune242.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
138.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
52.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
13.0ms	(* (sqrt z) (sqrt 2.0))

series376.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(exp (/ (* t t) 2.0))
175.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
118.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
61.0ms	(* (sqrt z) (sqrt 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	457	795
1	1948	683
2	5001	674

prune268.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.6b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite285.0ms

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`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
186.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
32.0ms	(* (- (* x 0.5) y) (sqrt z))
59.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series391.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(exp (/ (* t t) 2.0))
201.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
57.0ms	(* (- (* x 0.5) y) (sqrt z))
117.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	423	800
1	1954	683
2	5002	675

prune275.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite909.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-cbrt-cube`
30×	`add-exp-log`
27×	`associate-r`
22×	`sqrt-prod`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 105

Calls

4 calls:

628.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
60.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
31.0ms	(* (- (* x 0.5) y) (sqrt z))
186.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
150.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
51.0ms	(* (- (* x 0.5) y) (sqrt z))
124.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify78.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	543	1259
1	2725	997
2	5002	985

prune286.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes515.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	19
1	26	19

end0.0ms

sample2.8s

Algorithm

intervals

Results

746.0ms	17875×	body	80	valid
740.0ms	17917×	body	80	nan