Details

Time bar (total: 12.7s)

sample35.0ms

Algorithm
intervals
Results
14.0ms311×body80valid

simplify111.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite264.0ms

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:
23.0ms
(/ t (- 1.0 z))
235.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series153.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ t (- 1.0 z))
89.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify611.0ms

Counts
75 → 75

prune279.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
4.3b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite134.0ms

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:
22.0ms
(/ 1 (- 1.0 z))
31.0ms
(* t (/ 1 (- 1.0 z)))
73.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series179.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- 1.0 z))
71.0ms
(* t (/ 1 (- 1.0 z)))
74.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify805.0ms

Counts
120 → 120

prune307.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.5b
(/ 1 (/ (- 1.0 z) t))
4.3b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite480.0ms

Algorithm
rewrite-expression-head
Rules
151×times-frac
138×add-sqr-sqrt
114×*-un-lft-identity
71×add-cube-cbrt
26×difference-of-squares
22×associate-/r*
19×distribute-lft-out--
18×add-exp-log
16×associate-*r*
12×add-cbrt-cube
8×div-exp associate-/l*
7×div-inv
6×pow1
4×cbrt-undiv
3×associate-*r/ associate-*l* add-log-exp
2×distribute-rgt-in sub-neg rec-exp flip3-- frac-2neg distribute-lft-in 1-exp clear-num flip-- associate-/l/
1×pow-flip div-sub pow-prod-down prod-exp associate-/r/ *-commutative frac-sub cbrt-unprod inv-pow unswap-sqr
Counts
3 → 176
Calls
3 calls:
17.0ms
(/ (- 1.0 z) t)
21.0ms
(/ 1 (/ (- 1.0 z) t))
433.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series136.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- 1.0 z) t)
32.0ms
(/ 1 (/ (- 1.0 z) t))
58.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify1.2s

Counts
185 → 185

prune513.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

4.3b
(* x (- (/ y z) (/ t (- 1.0 z))))
6.3b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.3b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.3b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite355.0ms

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:
201.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
44.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
49.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
59.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
76.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
385.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
357.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
326.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify1.8s

Counts
80 → 80

prune393.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes559.0ms

Accuracy

0% (4.7b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 4.8b

bsearch3.0ms

simplify1.8s

end0.0ms

sample1.4s

Algorithm
intervals
Results
740.0ms10085×body80valid