Details

sample118.0ms

Algorithm

intervals

Results

42.0ms	562×	body	80	nan
41.0ms	553×	body	80	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.2b

localize12.0ms

Local error

Found 3 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)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

3.0ms	(/ (* t t) 2.0)
38.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* t t) 2.0)
152.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
98.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	416	543
1	1735	457
2	5001	454

prune202.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube`
13×	`add-exp-log`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down`
3×	`times-frac` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative`
1×	`flip3--` `frac-2neg` `clear-num` `sqrt-prod` `flip--` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

3.0ms	(/ (* t t) 2.0)
15.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
48.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series275.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (* t t) 2.0)
94.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
156.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	454	587
1	1785	496
2	5001	486

prune209.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
20×	`pow1`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow-prod-down`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `associate-l`
6×	`times-frac` `associate-/r*`
5×	`sqrt-prod`
4×	`cbrt-undiv` `sqrt-pow1` `div-exp` `add-log-exp`
2×	`frac-2neg` `pow1/2` `associate-l/` `clear-num` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`
1×	`flip3--` `sqrt-unprod` `flip--`

Counts

4 → 92

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
3.0ms	(/ (* t t) 2.0)
19.0ms	(* (sqrt (* z 2.0)) (sqrt (exp (/ (* t t) 2.0))))
198.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0)))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* t t) 2.0)
26.0ms	(/ (* t t) 2.0)
98.0ms	(* (sqrt (* z 2.0)) (sqrt (exp (/ (* t t) 2.0))))
150.0ms	(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	534	882
1	2184	729
2	5001	700

prune355.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`sqrt-prod`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
73.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
11.0ms	(* (- (* x 0.5) y) (sqrt z))
20.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series409.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
185.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
56.0ms	(* (- (* x 0.5) y) (sqrt z))
140.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	474	814
1	2310	687
2	5001	683

prune247.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes410.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	17977×	body	80	valid
1.3s	17824×	body	80	nan