Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
12.0ms354×body80valid

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0144
1273
2623
31123
41703
52133
62603
74503
88453
915323
1031383
1145873
1250013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
4.3b
(* (- y x) (/ z t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
15.0ms
(* (- y x) (/ z t))

series85.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (* (- y x) (/ z t)))
47.0ms
(* (- y x) (/ z t))

simplify44.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0306327
11283301
25002286

prune158.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- y x) (/ z t)) x)
4.3b
(* (- y x) (/ z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
7.0ms
(+ (* (- y x) (/ z t)) x)
15.0ms
(* (- y x) (/ z t))

series81.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (- y x) (/ z t)) x)
47.0ms
(* (- y x) (/ z t))

simplify46.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0306328
11261304
25001289

prune147.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
8.9b
(cbrt (/ z t))
8.9b
(cbrt (/ z t))
8.9b
(cbrt (/ z t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 106
Calls
4 calls:
25.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms
(cbrt (/ z t))
1.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series343.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
67.0ms
(cbrt (/ z t))
70.0ms
(cbrt (/ z t))
70.0ms
(cbrt (/ z t))

simplify99.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0351805
1953733
23478721
35001697

prune371.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
2.3b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
8.9b
(cbrt (/ z t))
8.9b
(cbrt (/ z t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
18×times-frac
14×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt z)
28.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series455.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt z)
131.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
67.0ms
(cbrt (/ z t))
63.0ms
(cbrt (/ z t))

simplify109.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0382695
11094621
24331609
35001609

prune407.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample554.0ms

Algorithm
intervals
Results
285.0ms10648×body80valid