Details

Time bar (total: 4.4s)

sample33.0ms

Algorithm
intervals
Results
20.0ms324×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: 5.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite130.0ms

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:
26.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
95.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
35.0ms
(/ 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 (39.0ms)

IterNodesCost
0387632
11452595
25001593

prune235.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

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))
2.3b
(* x (- (/ t (- 1.0 z))))
7.5b
(* x (/ y z))

rewrite60.0ms

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:
5.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
5.0ms
(/ t (- 1.0 z))
37.0ms
(* x (- (/ t (- 1.0 z))))
8.0ms
(* x (/ y z))

series180.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
34.0ms
(/ t (- 1.0 z))
60.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(* x (/ y z))

simplify88.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0674871
13174809
25001808

prune409.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.3b
(* x (- (/ t (- 1.0 z))))
4.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
68×associate-*r*
58×times-frac
53×*-un-lft-identity
41×add-cube-cbrt
27×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
17×cbrt-prod
10×associate-*l*
9×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp unswap-sqr
6×distribute-lft-out-- difference-of-squares
4×associate-/r/ div-inv add-log-exp
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×frac-times neg-mul-1 associate-*l/ distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 144
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
37.0ms
(* x (- (/ t (- 1.0 z))))
24.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt z)
187.0ms
(cbrt z)
61.0ms
(* x (- (/ t (- 1.0 z))))
49.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07501045
13962884
25001840

prune480.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* 1 (/ (* x y) z)) (* x (- (/ t (- 1.0 z)))))
2.3b
(* x (- (/ t (- 1.0 z))))
4.2b
(/ (* x y) z)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
56×*-un-lft-identity
48×times-frac
46×associate-*r*
36×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×associate-/r*
6×pow1 associate-/r/ add-log-exp
4×div-inv associate-/l*
3×cbrt-undiv flip3-- associate-*r/ div-exp associate-*l* distribute-rgt-neg-out flip--
2×frac-2neg prod-exp clear-num cbrt-unprod distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 135
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
6.0ms
(+ (* 1 (/ (* x y) z)) (* x (- (/ t (- 1.0 z)))))
38.0ms
(* x (- (/ t (- 1.0 z))))
3.0ms
(/ (* x y) z)

series187.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ t (- 1.0 z))
69.0ms
(+ (* 1 (/ (* x y) z)) (* x (- (/ t (- 1.0 z)))))
63.0ms
(* x (- (/ t (- 1.0 z))))
21.0ms
(/ (* x y) z)

simplify81.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0640836
13018777
25001774

prune370.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes247.0ms

Accuracy

36.9% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 4.4b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04730
15830
26030
36030

end0.0ms

sample920.0ms

Algorithm
intervals
Results
658.0ms10073×body80valid