Details

Time bar (total: 4.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms310×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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.3b
(* 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:
5.0ms
(/ t (- 1.0 z))
18.0ms
(- (/ y z) (/ t (- 1.0 z)))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series121.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ t (- 1.0 z))
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
49.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0387632
11452595
25001593

prune248.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.3b
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
12.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

series615.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt t)
182.0ms
(cbrt t)
180.0ms
(cbrt t)
70.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0206477
1856417
25001387

prune239.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

4.3b
(* x (- (/ y z) (* (* (cbrt (/ t (- 1.0 z))) (cbrt (/ t (- 1.0 z)))) (cbrt (/ t (- 1.0 z))))))
9.9b
(cbrt (/ t (- 1.0 z)))
9.9b
(cbrt (/ t (- 1.0 z)))
9.9b
(cbrt (/ t (- 1.0 z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
53×add-sqr-sqrt
51×*-un-lft-identity
45×times-frac
33×add-cube-cbrt
15×cbrt-div
12×associate-*r/
9×distribute-lft-out-- difference-of-squares
7×frac-sub
6×pow1 add-exp-log associate-/r/ add-cbrt-cube
5×frac-times associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l* div-inv
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 121
Calls
4 calls:
10.0ms
(* x (- (/ y z) (* (* (cbrt (/ t (- 1.0 z))) (cbrt (/ t (- 1.0 z)))) (cbrt (/ t (- 1.0 z))))))
5.0ms
(cbrt (/ t (- 1.0 z)))
5.0ms
(cbrt (/ t (- 1.0 z)))
9.0ms
(cbrt (/ t (- 1.0 z)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* x (- (/ y z) (* (* (cbrt (/ t (- 1.0 z))) (cbrt (/ t (- 1.0 z)))) (cbrt (/ t (- 1.0 z))))))
144.0ms
(cbrt (/ t (- 1.0 z)))
146.0ms
(cbrt (/ t (- 1.0 z)))
141.0ms
(cbrt (/ t (- 1.0 z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04731552
114171391
250021275

prune472.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.9b
(* (cbrt x) (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))
2.8b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z))))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×associate-*r/ add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
10.0ms
(* (cbrt x) (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z))))))

series630.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt t)
178.0ms
(cbrt t)
176.0ms
(* (cbrt x) (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))
92.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04141255
11842963
25002859

prune271.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes309.0ms

Accuracy

69.4% (1.4b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 4.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021
13021

end0.0ms

sample556.0ms

Algorithm
intervals
Results
315.0ms10030×body80valid