Details

Time bar (total: 3.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms315×body80valid

simplify17.0ms

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: 5.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ t (- 1.0 z))
23.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series84.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ t (- 1.0 z))
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0346447
11353419
25001417

prune190.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
4.9b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
25×add-cube-cbrt
24×associate-*r*
18×add-exp-log
12×add-cbrt-cube
8×pow1
7×distribute-lft-out-- difference-of-squares
6×associate-*r/ associate-*l*
5×prod-exp associate-/r*
4×div-exp associate-/r/ unswap-sqr
3×flip3-- flip-- cbrt-unprod associate-/l* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg rec-exp distribute-lft-in 1-exp pow-prod-down un-div-inv *-commutative frac-sub div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 111
Calls
3 calls:
5.0ms
(/ 1 (- 1.0 z))
10.0ms
(* t (/ 1 (- 1.0 z)))
8.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ 1 (- 1.0 z))
35.0ms
(* t (/ 1 (- 1.0 z)))
50.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0464685
12050602
25001560

prune236.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.9b
(* x (- (/ y z) (* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log associate-*r/ add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* associate-*l* frac-sub
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-times flip3-- pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
8.0ms
(* x (- (/ y z) (* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

series631.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt t)
183.0ms
(cbrt t)
191.0ms
(cbrt t)
74.0ms
(* x (- (/ y z) (* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

simplify39.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0245728
11048591
25002511

prune257.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

4.9b
(* x (- (/ y z) (/ t (- 1.0 z))))
6.7b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.7b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.7b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite89.0ms

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:
23.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
25.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series774.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
245.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
240.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
243.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0313732
11134647
25002639

prune267.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes295.0ms

Accuracy

66% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 4.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03023
13023

end0.0ms

sample562.0ms

Algorithm
intervals
Results
310.0ms10089×body80valid