Details

Time bar (total: 4.6s)

sample38.0ms

Algorithm
intervals
Results
22.0ms345×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
9.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(* (* z 9.0) t)
9.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series153.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(* (* z 9.0) t)
73.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0346438
11623375
25002375

prune208.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
5.7b
(/ (* x y) a)
7.2b
(/ (* t z) a)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 93
Calls
4 calls:
7.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
9.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series191.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
21.0ms
(/ (* x y) a)
22.0ms
(/ (* t z) a)

simplify65.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0405538
12002467
25001467

prune281.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.0b
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
4.6b
(* (* t 4.5) (/ z a))
5.7b
(/ (* x y) a)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
20×associate-*r*
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×times-frac
11×pow1 prod-exp cbrt-unprod
6×cbrt-undiv associate-*r/ div-exp add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u
3×associate-/r* div-inv
2×*-commutative
1×sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num frac-sub flip-- associate-/l* sub-div unswap-sqr
Counts
4 → 105
Calls
4 calls:
9.0ms
(* 0.5 (/ (* x y) a))
8.0ms
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
11.0ms
(* (* t 4.5) (/ z a))
4.0ms
(/ (* x y) a)

series200.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 0.5 (/ (* x y) a))
116.0ms
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
35.0ms
(* (* t 4.5) (/ z a))
22.0ms
(/ (* x y) a)

simplify72.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0518626
12715543
25002543

prune296.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.8b
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
4.6b
(* (* t 4.5) (/ z a))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
40×add-cbrt-cube
35×associate-*r*
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×prod-exp cbrt-unprod
15×cbrt-prod
14×pow1
10×cbrt-undiv div-exp
6×pow-prod-down
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
2×pow1/3 associate-*l* *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
44.0ms
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
11.0ms
(* (* t 4.5) (/ z a))

series452.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt a)
177.0ms
(cbrt a)
62.0ms
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
31.0ms
(* (* t 4.5) (/ z a))

simplify98.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0672885
13757669
25001644

prune379.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes707.0ms

Accuracy

78.2% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 7.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04422
14422

end0.0ms

sample1.1s

Algorithm
intervals
Results
711.0ms11126×body80valid