Details

Time bar (total: 6.1s)

sample22.0ms

Algorithm
intervals
Results
8.0ms314×body80valid

simplify16.0ms

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: 3.8b

localize7.0ms

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))))

rewrite178.0ms

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:
38.0ms
(- (/ y z) (/ t (- 1.0 z)))
138.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series74.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- (/ y z) (/ t (- 1.0 z)))
45.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify31.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0258422
1977391
25001389

prune130.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

3.6b
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
153×cbrt-div
81×frac-times
78×associate-*r/
51×flip3-- frac-sub flip--
44×add-sqr-sqrt
41×*-un-lft-identity
30×cbrt-prod
27×associate-*l/
24×times-frac
13×pow1 add-exp-log
12×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 147
Calls
4 calls:
932.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
31.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
33.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
31.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
122.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
129.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
124.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify109.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
06802748
114602590
242432481
350022459

prune715.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b
(* x (- (/ y z) (/ t (- 1.0 z))))
6.9b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.9b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.9b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite274.0ms

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:
151.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
35.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
34.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
52.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series682.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
209.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
210.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
216.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0313732
11134647
25002639

prune256.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

3.6b
(* x (- (/ y z) (/ t (- 1.0 z))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.9b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.9b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite233.0ms

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:
130.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
31.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
35.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
35.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series585.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
126.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
211.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
207.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0397828
11294753
25001745

prune301.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

73.4% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 5.0b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021
13021

end0.0ms

sample637.0ms

Algorithm
intervals
Results
285.0ms10167×body80valid