Details

Time bar (total: 5.1s)

sample30.0ms

Algorithm
intervals
Results
18.0ms319×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.2b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
26.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
96.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
34.0ms
(/ t (- 1.0 z))
48.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0387632
11452595
25001593

prune237.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
0.3b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
5.2b
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt cbrt-div
13×pow1
11×associate-*r* associate-*l*
10×swap-sqr
9×flip3-- flip--
8×add-exp-log pow1/3 associate-*r/ distribute-lft-out--
6×add-cbrt-cube difference-of-squares
5×frac-times unswap-sqr
4×add-log-exp
3×pow-prod-down associate-*l/ frac-sub
2×distribute-rgt-in sub-neg distribute-lft-in prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus
Counts
4 → 113
Calls
4 calls:
2.0ms
(cbrt (- 1.0 z))
2.0ms
(cbrt (- 1.0 z))
20.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
29.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (- 1.0 z))
91.0ms
(cbrt (- 1.0 z))
108.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
50.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05031197
120051105
250011023

prune399.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
6.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
148.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
22.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
22.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
25.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series543.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
136.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
142.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
132.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify72.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
04191341
19691257
225061243
350021222

prune382.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.6b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
52×*-un-lft-identity
40×cbrt-prod
32×times-frac
16×distribute-lft-out-- difference-of-squares
12×cbrt-div
8×add-cube-cbrt
4×pow1 add-exp-log flip3-- pow1/3 frac-sub add-cbrt-cube flip-- add-log-exp
Counts
4 → 84
Calls
4 calls:
22.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
24.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
22.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
26.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
135.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
143.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
138.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify95.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 4 (84.0ms)

IterNodesCost
02111044
14531000
21056992
33518964
45002952

prune391.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes424.0ms

Accuracy

90.8% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 4.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05676
15876
25876

end0.0ms

sample834.0ms

Algorithm
intervals
Results
587.0ms10059×body80valid