Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms336×body80valid

simplify106.0ms

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: 2.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.4b
(* (- y x) (/ z t))

rewrite21.0ms

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:
2.0ms
(+ x (* (- y x) (/ z t)))
17.0ms
(* (- y x) (/ z t))

series76.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* (- y x) (/ z t)))
42.0ms
(* (- y x) (/ z t))

simplify42.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0296310
11245287
25001275

prune121.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
11×*-un-lft-identity
9×cbrt-prod add-cube-cbrt prod-exp cbrt-unprod
6×pow1
5×associate-*r* associate-*l*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3
2×frac-times flip3-- times-frac associate-*l/ flip-- unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 69
Calls
4 calls:
3.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
27.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series649.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
174.0ms
(cbrt z)
176.0ms
(cbrt z)
119.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify50.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0385599
11673471
25003438

prune255.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
3.2b
(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
3.2b
(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
3.2b
(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div times-frac div-inv
Counts
4 → 53
Calls
4 calls:
0.0ms
(cbrt z)
6.0ms
(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
6.0ms
(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
6.0ms
(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt z)
87.0ms
(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
88.0ms
(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
87.0ms
(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify76.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (70.0ms)

IterNodesCost
0126621
1267558
2740535
32655529
45001511

prune258.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
2.7b
(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
2.7b
(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
2.7b
(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
15×cbrt-div
14×add-cbrt-cube
11×add-sqr-sqrt
9×prod-exp cbrt-unprod
8×frac-times flip3-- *-un-lft-identity associate-*l/ flip--
6×pow1 add-cube-cbrt
5×associate-*r* associate-*l*
4×cbrt-undiv associate-*r/ div-exp add-log-exp
3×cbrt-prod pow1/3
2×times-frac unswap-sqr
1×pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 78
Calls
4 calls:
27.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
19.0ms
(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
21.0ms
(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
19.0ms
(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

series902.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
258.0ms
(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
261.0ms
(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
256.0ms
(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04801283
119001114
250011088

prune388.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes234.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01714
11714

end0.0ms

sample545.0ms

Algorithm
intervals
Results
279.0ms10586×body80valid