Details

Time bar (total: 3.8s)

sample24.0ms

Algorithm
intervals
Results
9.0ms318×body80valid

simplify19.0ms

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: 3.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
3.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite97.0ms

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))
89.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series88.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ t (- 1.0 z))
52.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0346447
11353419
25001417

prune188.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
3.2b
(* x (- (/ t (- 1.0 z))))
4.3b
(* x (/ y z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
4.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
5.0ms
(/ t (- 1.0 z))
35.0ms
(* x (- (/ t (- 1.0 z))))
7.0ms
(* x (/ y z))

series186.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
35.0ms
(/ t (- 1.0 z))
63.0ms
(* x (- (/ t (- 1.0 z))))
21.0ms
(* x (/ y z))

simplify88.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0674871
13174809
25001808

prune410.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* (* x t) (- (/ 1 (- 1.0 z)))))
0.0b
(/ 1 (- 1.0 z))
2.7b
(* (* x t) (- (/ 1 (- 1.0 z))))
4.3b
(* x (/ y z))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
61×*-un-lft-identity
59×associate-*r*
55×times-frac
41×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
18×add-exp-log
16×add-cbrt-cube
12×pow1
10×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
5×prod-exp associate-/r* cbrt-unprod
4×associate-*r/ associate-*l* pow-prod-down div-inv
3×flip3-- div-exp distribute-rgt-neg-out flip-- associate-/l*
2×cbrt-undiv *-commutative distribute-neg-frac unswap-sqr
1×+-commutative neg-mul-1 rec-exp pow-flip frac-2neg flip3-+ 1-exp unsub-neg frac-add clear-num sum-log flip-+ inv-pow
Counts
4 → 150
Calls
4 calls:
5.0ms
(+ (* x (/ y z)) (* (* x t) (- (/ 1 (- 1.0 z)))))
5.0ms
(/ 1 (- 1.0 z))
28.0ms
(* (* x t) (- (/ 1 (- 1.0 z))))
7.0ms
(* x (/ y z))

series177.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ (* x (/ y z)) (* (* x t) (- (/ 1 (- 1.0 z)))))
29.0ms
(/ 1 (- 1.0 z))
58.0ms
(* (* x t) (- (/ 1 (- 1.0 z))))
24.0ms
(* x (/ y z))

simplify119.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
0763947
14220834
25001768

prune372.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.2b
(* x (- (/ t (- 1.0 z))))
5.5b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r*
53×add-sqr-sqrt
51×*-un-lft-identity
48×times-frac
39×add-cube-cbrt
27×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
15×pow1 cbrt-prod
13×prod-exp cbrt-unprod
7×pow-prod-down
6×distribute-lft-out-- difference-of-squares
4×associate-*l* associate-/r/ add-log-exp
3×cbrt-undiv div-exp div-inv
2×flip3-- pow1/3 associate-*r/ *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac unswap-sqr
Counts
4 → 132
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
35.0ms
(* x (- (/ t (- 1.0 z))))
44.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series481.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt y)
185.0ms
(cbrt y)
64.0ms
(* x (- (/ t (- 1.0 z))))
40.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify105.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0689901
13782746
25002709

prune396.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes220.0ms

Accuracy

-27.9% (5.5b remaining)

Error of 5.6b against oracle of 0.1b and baseline of 4.4b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06671
17971
28571
38571

end0.0ms

sample575.0ms

Algorithm
intervals
Results
304.0ms10203×body80valid