Details

Time bar (total: 8.5s)

sample28.0ms

Algorithm
intervals
Results
12.0ms325×body80valid

simplify6.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
3.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite307.0ms

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:
69.0ms
(- (/ y z) (/ t (- 1.0 z)))
19.0ms
(/ t (- 1.0 z))
213.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series186.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (/ y z) (/ t (- 1.0 z)))
51.0ms
(/ t (- 1.0 z))
86.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify71.0ms

Counts
98 → 98

prune325.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
3.0b
(* x (- (/ t (- 1.0 z))))
5.1b
(* x (/ y z))

rewrite123.0ms

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:
11.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
14.0ms
(/ t (- 1.0 z))
76.0ms
(* x (- (/ t (- 1.0 z))))
16.0ms
(* x (/ y z))

series252.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
40.0ms
(/ t (- 1.0 z))
92.0ms
(* x (- (/ t (- 1.0 z))))
33.0ms
(* x (/ y z))

simplify68.0ms

Counts
159 → 159

prune623.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.0b
(* x (- (/ t (- 1.0 z))))
11.9b
(cbrt (/ y z))
11.9b
(cbrt (/ y z))
11.9b
(cbrt (/ y z))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
57×*-un-lft-identity times-frac
46×associate-*r*
45×add-cube-cbrt
39×cbrt-prod
21×distribute-lft-neg-in distribute-rgt-neg-in
6×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
5×div-inv
4×associate-/r/ add-log-exp
3×cbrt-div pow1/3 associate-*l*
2×flip3-- flip--
1×neg-mul-1 associate-*r/ pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod distribute-neg-frac unswap-sqr
Counts
4 → 129
Calls
4 calls:
81.0ms
(* x (- (/ t (- 1.0 z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series444.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* x (- (/ t (- 1.0 z))))
104.0ms
(cbrt (/ y z))
122.0ms
(cbrt (/ y z))
130.0ms
(cbrt (/ y z))

simplify99.0ms

Counts
141 → 141

prune851.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.9b
(* x (* (/ (cbrt y) (cbrt z)) (cbrt (/ y z))))
3.0b
(* x (- (/ t (- 1.0 z))))
11.9b
(cbrt (/ y z))
11.9b
(cbrt (/ y z))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
51×*-un-lft-identity
48×times-frac
47×associate-*r*
39×add-cube-cbrt
26×cbrt-prod
21×distribute-lft-neg-in distribute-rgt-neg-in
15×add-exp-log
11×pow1 add-cbrt-cube
6×associate-*l* prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
5×associate-*r/
4×cbrt-div pow-prod-down associate-/r/ div-inv add-log-exp
2×flip3-- pow1/3 *-commutative flip--
1×cbrt-undiv frac-times neg-mul-1 div-exp associate-*l/ distribute-rgt-neg-out distribute-neg-frac unswap-sqr
Counts
4 → 130
Calls
4 calls:
45.0ms
(* x (* (/ (cbrt y) (cbrt z)) (cbrt (/ y z))))
66.0ms
(* x (- (/ t (- 1.0 z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series438.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* x (* (/ (cbrt y) (cbrt z)) (cbrt (/ y z))))
90.0ms
(* x (- (/ t (- 1.0 z))))
96.0ms
(cbrt (/ y z))
95.0ms
(cbrt (/ y z))

simplify61.0ms

Counts
142 → 142

prune992.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes403.0ms

Accuracy

60% (2.0b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 5.1b

bsearch1.0ms

simplify1.0s

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s10167×body80valid