Details

Time bar (total: 4.3s)

sample22.0ms

Algorithm
intervals
Results
10.0ms326×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 3.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
3.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

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:
18.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
23.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series124.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
35.0ms
(/ t (- 1.0 z))
52.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0387632
11452595
25001593

prune243.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
3.6b
(* x (* (/ 1 1) (- (/ y z) (/ t (- 1.0 z)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
33×*-un-lft-identity
27×add-exp-log
23×times-frac
15×prod-exp
14×add-cube-cbrt add-cbrt-cube
10×associate-*r/
8×pow1 distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
5×sub-neg 1-exp div-exp associate-/r* cbrt-unprod add-log-exp
4×flip3-- flip--
3×frac-times associate-*l* pow-prod-down frac-sub associate-/l*
2×cbrt-undiv rec-exp associate-/r/
1×frac-2neg diff-log associate-*r* associate-*l/ clear-num *-commutative div-inv
Counts
3 → 97
Calls
3 calls:
18.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
29.0ms
(* x (* (/ 1 1) (- (/ y z) (/ t (- 1.0 z)))))

series123.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- (/ y z) (/ t (- 1.0 z)))
35.0ms
(/ t (- 1.0 z))
53.0ms
(* x (* (/ 1 1) (- (/ y z) (/ t (- 1.0 z)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0536715
11889654
25001641

prune248.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite109.0ms

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:
47.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
142.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
151.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
143.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
04191341
19691257
225061243
350021222

prune398.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite77.0ms

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:
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
20.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series580.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
147.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
142.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
147.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify104.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 4 (87.0ms)

IterNodesCost
02111044
14531000
21056992
33518964
45002952

prune402.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.2b

regimes354.0ms

Accuracy

79.4% (0.9b remaining)

Error of 1.3b against oracle of 0.5b and baseline of 4.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04025
14425
24425

end0.0ms

sample581.0ms

Algorithm
intervals
Results
333.0ms10102×body80valid