Details

Time bar (total: 5.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms334×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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)))
6.3b
(* (- y x) (/ z t))

rewrite14.0ms

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:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series81.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* (- y x) (/ z t)))
46.0ms
(* (- y x) (/ z t))

simplify42.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0296310
11245287
25001275

prune133.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
2.2b
(* (cbrt (- y x)) (/ z t))
4.3b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
84×frac-times
58×flip3-- flip--
40×associate-*l/
31×add-sqr-sqrt
30×add-exp-log
27×associate-*r/
21×*-un-lft-identity
18×pow1 add-cbrt-cube
17×cbrt-prod
15×add-cube-cbrt prod-exp cbrt-unprod
14×associate-*r*
11×times-frac
9×associate-*l* pow-prod-down
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 152
Calls
4 calls:
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
10.0ms
(* (cbrt (- y x)) (/ z t))
19.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series532.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- y x))
145.0ms
(cbrt (- y x))
192.0ms
(* (cbrt (- y x)) (/ z t))
47.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify80.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
08062054
126651859
250011806

prune418.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.3b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (* (cbrt z) (cbrt z)) (cbrt (- y x))) (/ (cbrt z) t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
108×cbrt-div
82×frac-times
69×add-exp-log
62×associate-*r/
54×flip3-- flip--
45×prod-exp cbrt-unprod
38×associate-*l/
36×pow1
33×add-cbrt-cube
24×pow-prod-down
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-undiv div-exp
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
28.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (* (cbrt z) (cbrt z)) (cbrt (- y x))) (/ (cbrt z) t)))

series611.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt z)
182.0ms
(cbrt z)
174.0ms
(cbrt z)
75.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (* (cbrt z) (cbrt z)) (cbrt (- y x))) (/ (cbrt z) t)))

simplify105.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07802507
129732021
250021845

prune449.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
4.3b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z)) (cbrt (- y x))) (/ (cbrt z) t)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
108×cbrt-div
97×add-exp-log
82×frac-times
67×prod-exp cbrt-unprod
62×associate-*r/
54×flip3-- flip--
49×pow1
43×add-cbrt-cube
38×associate-*l/
35×pow-prod-down
8×cbrt-undiv div-exp
7×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 140
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
33.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z)) (cbrt (- y x))) (/ (cbrt z) t)))

series711.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt z)
179.0ms
(cbrt z)
274.0ms
(cbrt (* (cbrt z) (cbrt z)))
82.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z)) (cbrt (- y x))) (/ (cbrt z) t)))

simplify138.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
09153553
136622939
250022773

prune501.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes318.0ms

Accuracy

57.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03523
13523

end0.0ms

sample572.0ms

Algorithm
intervals
Results
298.0ms10672×body80valid