Details

Time bar (total: 6.1s)

sample39.0ms

Algorithm
intervals
Results
26.0ms323×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: 6.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
6.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite127.0ms

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:
5.0ms
(/ t (- 1.0 z))
27.0ms
(- (/ y z) (/ t (- 1.0 z)))
92.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ t (- 1.0 z))
38.0ms
(- (/ y z) (/ t (- 1.0 z)))
47.0ms
(* 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

prune236.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

6.5b
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
8.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite732.0ms

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:
654.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
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))))

series472.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
139.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
141.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
141.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify107.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
06802748
114602590
242432481
350022459

prune530.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.3b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
3.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×pow1 add-exp-log
11×associate-*r* add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt associate-*r/ pow-prod-down prod-exp cbrt-unprod
8×times-frac
7×associate-*l*
6×sub-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×flip3-- pow1/3 *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
93.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
86.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series602.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
184.0ms
(cbrt x)
160.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
75.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0426899
11901709
25003639

prune264.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

8.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite94.0ms

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))))
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))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
149.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
141.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
144.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify99.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 4 (83.0ms)

IterNodesCost
02111044
14531000
21056992
33518964
45002952

prune377.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes400.0ms

Accuracy

96.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 4.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05254
15254

end0.0ms

sample992.0ms

Algorithm
intervals
Results
725.0ms10081×body80valid