Details

Time bar (total: 6.8s)

sample81.0ms

Algorithm
intervals
Results
26.0ms571×body80valid
22.0ms567×body80nan

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

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)))

rewrite31.0ms

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)
13.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms
(exp (/ (* t t) 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* t t) 2.0)
162.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
22.0ms
(exp (/ (* t t) 2.0))
105.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0463658
11807565
25001558

prune323.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite31.0ms

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×expm1-log1p-u pow-to-exp exp-prod pow-exp log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 83
Calls
3 calls:
4.0ms
(pow (exp t) (/ t 2.0))
12.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series354.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(pow (exp t) (/ t 2.0))
194.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
107.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0513701
12030621
25001617

prune327.0ms

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)))

rewrite45.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×flip3-- pow1/3 *-commutative flip-- sqr-pow
1×sqrt-prod unswap-sqr
Counts
4 → 89
Calls
4 calls:
3.0ms
(cbrt (pow (exp t) (/ t 2.0)))
3.0ms
(cbrt (pow (exp t) (/ t 2.0)))
25.0ms
(* (* (- (* 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)))))
12.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series677.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (pow (exp t) (/ t 2.0)))
186.0ms
(cbrt (pow (exp t) (/ t 2.0)))
196.0ms
(* (* (- (* 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)))))
108.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04691319
11768960
25001893

prune390.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp t) (/ t 2.0))
0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
24×add-sqr-sqrt
22×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×associate-*r*
13×pow-unpow
12×pow1 associate-*l/
10×cbrt-unprod
9×times-frac
7×sqrt-prod
6×unpow-prod-down
5×associate-*l*
4×expm1-log1p-u pow-to-exp pow-pow pow-prod-down pow-exp log1p-expm1-u add-log-exp
3×exp-prod flip3-- *-commutative flip--
2×unswap-sqr sqr-pow
1×div-inv
Counts
4 → 115
Calls
4 calls:
5.0ms
(pow (exp t) (/ t 2.0))
18.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
8.0ms
(* (- (* x 0.5) y) (sqrt z))
11.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series481.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(pow (exp t) (/ t 2.0))
225.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
64.0ms
(* (- (* x 0.5) y) (sqrt z))
137.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05771000
12614873
25002867

prune384.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes601.0ms

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

sample2.3s

Algorithm
intervals
Results
734.0ms17953×body80valid
710.0ms17853×body80nan