Details

Time bar (total: 4.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms312×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: 4.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite48.0ms

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))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
34.0ms
(/ t (- 1.0 z))
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387632
11452595
25001593

prune416.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

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)))
4.4b
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

rewrite33.0ms

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:
6.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
11.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
9.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (- 1.0 z))
95.0ms
(cbrt (- 1.0 z))
107.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
46.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05031197
120051105
250011023

prune388.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

4.4b
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
6.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite143.0ms

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:
75.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (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))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series462.0ms

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))))))
135.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
140.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
137.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify111.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
06802748
114602590
242432481
350022459

prune520.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ y z) (/ y z))
1.4b
(- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z))))
5.0b
(* x (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))
18.4b
(/ (* x (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z))))) (+ (/ y z) (/ t (- 1.0 z))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
54×times-frac
50×add-sqr-sqrt
41×associate-*r/
36×add-cube-cbrt
27×frac-sub
23×add-exp-log add-cbrt-cube
19×frac-times associate-*l/
17×associate-*r*
16×associate-*l*
13×pow1 swap-sqr
11×associate-/l/
6×cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod distribute-lft-out add-log-exp
5×div-inv unswap-sqr
3×sub-neg flip3-- associate-/r/ flip--
2×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
1×pow2 frac-2neg flip3-+ pow-plus diff-log frac-add clear-num pow-sqr pow-prod-up flip-+ associate-/l*
Counts
4 → 164
Calls
4 calls:
13.0ms
(* (/ y z) (/ y z))
7.0ms
(- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z))))
10.0ms
(* x (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))
28.0ms
(/ (* x (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z))))) (+ (/ y z) (/ t (- 1.0 z))))

series344.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (/ y z) (/ y z))
65.0ms
(- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z))))
115.0ms
(* x (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z)))))
135.0ms
(/ (* x (- (* (/ y z) (/ y z)) (* (/ t (- 1.0 z)) (/ t (- 1.0 z))))) (+ (/ y z) (/ t (- 1.0 z))))

simplify116.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08321855
143711630
250031626

prune359.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

74.4% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 4.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021
13021

end0.0ms

sample568.0ms

Algorithm
intervals
Results
311.0ms10059×body80valid