Details

Time bar (total: 3.8s)

sample21.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2584
3964
41314
51554
61794
73104
86434
911714
1024824
1137744
1250024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.8b
(* (- y x) (/ z t))

rewrite40.0ms

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×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod 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 → 49
Calls
2 calls:
10.0ms
(+ x (* (- y x) (/ z t)))
29.0ms
(* (- y x) (/ z t))

series70.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (* (- y x) (/ z t)))
38.0ms
(* (- y x) (/ z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296310
11245287
25001275

prune118.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

7.8b
(cbrt (* (- y x) (/ z t)))
7.8b
(* (- y x) (/ z t))
7.8b
(* (- y x) (/ z t))
7.8b
(* (- y x) (/ z t))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×associate-*r*
34×*-un-lft-identity
30×times-frac
28×add-cube-cbrt
19×add-exp-log add-cbrt-cube
15×associate-*l*
10×pow1
8×frac-times flip3-- associate-*l/ flip--
6×prod-exp cbrt-unprod unswap-sqr
5×cbrt-div
4×associate-*r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
1×cbrt-prod pow1/3
Counts
4 → 128
Calls
4 calls:
10.0ms
(cbrt (* (- y x) (/ z t)))
29.0ms
(* (- y x) (/ z t))
30.0ms
(* (- y x) (/ z t))
28.0ms
(* (- y x) (/ z t))

series243.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (* (- y x) (/ z t)))
40.0ms
(* (- y x) (/ z t))
37.0ms
(* (- y x) (/ z t))
38.0ms
(* (- y x) (/ z t))

simplify44.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0375801
11475729
25002709

prune407.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
13.5b
(cbrt (/ z t))
13.5b
(cbrt (/ z t))
13.5b
(cbrt (/ z t))

rewrite62.0ms

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×flip3-- flip-- 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 → 98
Calls
4 calls:
48.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
6.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series287.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
55.0ms
(cbrt (/ z t))
60.0ms
(cbrt (/ z t))
60.0ms
(cbrt (/ z t))

simplify84.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0338774
1926705
23350693
35001669

prune330.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
3.3b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
13.5b
(cbrt (/ z t))
13.5b
(cbrt (/ z t))

rewrite58.0ms

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×flip3-- flip-- 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 → 87
Calls
4 calls:
1.0ms
(cbrt z)
47.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series407.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
112.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
60.0ms
(cbrt (/ z t))
55.0ms
(cbrt (/ z t))

simplify97.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0367666
11065595
24201583
35002566

prune353.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

55.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03221
13512
23812
33812

end0.0ms

sample624.0ms

Algorithm
intervals
Results
255.0ms10672×body80valid