Details

Time bar (total: 6.1s)

sample23.0ms

Algorithm
intervals
Results
8.0ms332×body80valid

simplify103.0ms

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: 2.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.1b
(* (- y x) (/ z t))

rewrite38.0ms

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:
6.0ms
(+ x (* (- y x) (/ z t)))
29.0ms
(* (- y x) (/ z t))

series72.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (- y x) (/ z t)))
38.0ms
(* (- y x) (/ z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296310
11245287
25001275

prune111.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
6.1b
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
5×associate-*r/
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×frac-times flip3-- associate-*l/ flip--
1×associate-*l* *-commutative div-inv
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
134.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

series595.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
172.0ms
(cbrt z)
170.0ms
(cbrt z)
75.0ms
(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

simplify67.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0430694
12345534
25003495

prune264.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
7.9b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
56.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series619.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt t)
178.0ms
(cbrt t)
178.0ms
(cbrt t)
75.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0455821
12233666
25002631

prune286.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t)))
6.8b
(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
6.8b
(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
6.8b
(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
54×cbrt-prod
47×times-frac
34×*-un-lft-identity
26×add-cube-cbrt
22×associate-*r*
12×associate-*l*
9×add-exp-log unswap-sqr
6×pow1 add-cbrt-cube
5×cbrt-div div-inv
4×distribute-lft-out-- add-log-exp difference-of-squares
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 113
Calls
4 calls:
40.0ms
(* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t)))
12.0ms
(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
9.0ms
(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
9.0ms
(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

series1.9s

Counts
4 → 12
Calls
4 calls:
894.0ms
(* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t)))
343.0ms
(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
326.0ms
(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
334.0ms
(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

simplify48.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04591428
115451364
250021355

prune660.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

-19.5% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.0b

bsearch63.0ms

Steps
ItersRangePoint
10
1.1835569746241766e+47
7.908198491110351e+63
1.788430061317917e+49
7
-5.193500810084203e-75
-3.167058764412077e-77
-1.3709180421463811e-76

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248
1248

end0.0ms

sample627.0ms

Algorithm
intervals
Results
259.0ms10647×body80valid