Details

Time bar (total: 7.3s)

sample34.0ms

Algorithm
intervals
Results
19.0ms340×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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×*-un-lft-identity
16×times-frac
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×sub-neg associate-*r/ associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in frac-sub flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
27.0ms
(- (/ y z) (/ t (- 1.0 z)))
91.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series27.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (/ y z) (/ t (- 1.0 z)))
18.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify35.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0258422
1977391
25001389

prune449.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.5b

localize12.0ms

Local error

Found 4 expressions with local error:

3.6b
(* x (- (/ y z) (/ t (- 1.0 z))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
12×associate-*r/
10×associate-*r*
9×cbrt-div
8×times-frac
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×flip3-- frac-sub flip-- distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-prod pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
90.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
23.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
25.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
23.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
67.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
67.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
68.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0313732
11134647
25002639

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.5b

localize16.0ms

Local error

Found 4 expressions with local error:

3.6b
(* x (- (/ y z) (/ t (- 1.0 z))))
6.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×*-un-lft-identity
16×times-frac
12×cbrt-prod
10×associate-*r*
9×cbrt-div associate-*r/
8×distribute-lft-out-- difference-of-squares
7×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube
4×flip3-- frac-sub flip-- add-log-exp
3×pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 77
Calls
4 calls:
91.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
24.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
23.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
25.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series191.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
37.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
68.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
68.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0397828
11294753
25001745

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.5b

localize21.0ms

Local error

Found 4 expressions with local error:

7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-div associate-*r/
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity pow1/3 frac-sub add-cbrt-cube flip-- add-log-exp
Counts
4 → 48
Calls
4 calls:
24.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
23.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
23.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
25.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series266.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
67.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
65.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
68.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0183660
1472576
21437568
35001552

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.5b

regimes1.1s

Accuracy

43% (2.0b remaining)

Error of 3.1b against oracle of 1.0b and baseline of 4.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02418
12418

end0.0ms

sample855.0ms

Algorithm
intervals
Results
590.0ms10176×body80valid