Details

Time bar (total: 6.5s)

sample79.0ms

Algorithm
intervals
Results
24.0ms571×body80valid
22.0ms567×body80nan

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

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

rewrite29.0ms

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)
12.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (* t t) 2.0)
164.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
24.0ms
(exp (/ (* t t) 2.0))
101.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0443614
11819523
25001520

prune254.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
11×associate-*r*
10×prod-exp add-cbrt-cube
9×times-frac
6×pow1 unpow-prod-down associate-*l/
4×pow-pow associate-*l* cbrt-unprod
3×pow-to-exp exp-prod pow-exp add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 77
Calls
3 calls:
4.0ms
(pow (exp t) (/ t 2.0))
11.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series327.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(pow (exp t) (/ t 2.0))
177.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
101.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0495663
12045592
25002592

prune280.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
14×cbrt-prod
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×unpow-prod-down associate-*l/
5×associate-*r*
4×associate-*l* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- sqr-pow
1×sqrt-prod unswap-sqr
Counts
4 → 81
Calls
4 calls:
4.0ms
(cbrt (pow (exp t) (/ t 2.0)))
2.0ms
(cbrt (pow (exp t) (/ t 2.0)))
23.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series611.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (pow (exp t) (/ t 2.0)))
166.0ms
(cbrt (pow (exp t) (/ t 2.0)))
178.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
100.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04511249
11760892
25001822

prune308.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* z 2.0)))
0.1b
(sqrt (sqrt (* z 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.4b
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
19×pow1
17×add-sqr-sqrt
14×associate-*r*
12×sqrt-pow1
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×pow-prod-down associate-*l/
4×pow1/2 associate-*l* prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square flip3-- *-commutative flip-- unswap-sqr
Counts
4 → 83
Calls
4 calls:
3.0ms
(sqrt (sqrt (* z 2.0)))
3.0ms
(sqrt (sqrt (* z 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
14.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series643.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(sqrt (sqrt (* z 2.0)))
197.0ms
(sqrt (sqrt (* z 2.0)))
162.0ms
(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
108.0ms
(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0366702
11432607
25001584

prune283.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes473.0ms

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)

IterNodesCost
02320
12320

end0.0ms

sample2.4s

Algorithm
intervals
Results
779.0ms17953×body80valid
728.0ms17853×body80nan