Details

Time bar (total: 8.7s)

sample76.0ms

Algorithm
intervals
Results
23.0ms541×body80valid
21.0ms502×body80nan

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
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)))

rewrite59.0ms

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:
2.0ms
(exp (/ (* t t) 2.0))
3.0ms
(/ (* t t) 2.0)
37.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(exp (/ (* t t) 2.0))
24.0ms
(/ (* t t) 2.0)
153.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
100.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0443614
11819523
25001520

prune251.0ms

Filtered
89 candidates to 67 candidates (75.3%)
Pruning

8 alts after pruning (7 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))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite114.0ms

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)
76.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
20.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series397.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* t t) 2.0)
189.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
54.0ms
(* (- (* x 0.5) y) (sqrt z))
129.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0474814
12310687
25001683

prune268.0ms

Filtered
103 candidates to 67 candidates (65.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite535.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
55×add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
20×associate-*l/
19×associate-*r*
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 115
Calls
4 calls:
382.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
31.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
106.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series813.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
61.0ms
(* (- (* x 0.5) y) (sqrt z))
425.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
135.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify98.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
05781862
128201355
250021264

prune316.0ms

Filtered
127 candidates to 67 candidates (52.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite600.0ms

Algorithm
rewrite-expression-head
Rules
112×pow1 add-exp-log
82×pow-prod-down prod-exp cbrt-unprod
61×add-cbrt-cube
20×associate-*r* associate-*l/
15×cbrt-prod add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 146
Calls
4 calls:
433.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
29.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
119.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
66.0ms
(* (- (* x 0.5) y) (sqrt z))
426.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
545.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

simplify109.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06773045
132312215
250021923

prune363.0ms

Filtered
158 candidates to 70 candidates (44.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes520.0ms

Accuracy

0% (0.2b 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)

IterNodesCost
0199
1199

end0.0ms

sample2.4s

Algorithm
intervals
Results
771.0ms17905×body80valid
761.0ms18028×body80nan