Details

Time bar (total: 8.0s)

sample46.0ms

Algorithm
intervals
Results
20.0ms324×body80valid

simplify6.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
3.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite255.0ms

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:
60.0ms
(- (/ y z) (/ t (- 1.0 z)))
12.0ms
(/ t (- 1.0 z))
179.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series205.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- (/ y z) (/ t (- 1.0 z)))
63.0ms
(/ t (- 1.0 z))
72.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify76.0ms

Counts
98 → 98

prune329.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.2b
(* t (/ 1 (- 1.0 z)))
3.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
20.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
23.0ms
(/ 1 (- 1.0 z))
32.0ms
(* t (/ 1 (- 1.0 z)))
75.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
32.0ms
(/ 1 (- 1.0 z))
42.0ms
(* t (/ 1 (- 1.0 z)))
58.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify43.0ms

Counts
137 → 137

prune423.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.4b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ 1 (- 1.0 z)))
0.4b
(cbrt (/ 1 (- 1.0 z)))
0.4b
(cbrt (/ 1 (- 1.0 z)))
3.6b
(* x (- (/ y z) (* (* t (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z))))) (cbrt (/ 1 (- 1.0 z))))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
53×add-sqr-sqrt
51×*-un-lft-identity
45×times-frac
33×add-cube-cbrt
18×associate-*r/
15×cbrt-div
9×distribute-lft-out-- difference-of-squares
7×frac-sub
6×pow1 add-exp-log associate-/r/ add-cbrt-cube
5×frac-times associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l* div-inv
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 121
Calls
4 calls:
7.0ms
(cbrt (/ 1 (- 1.0 z)))
8.0ms
(cbrt (/ 1 (- 1.0 z)))
7.0ms
(cbrt (/ 1 (- 1.0 z)))
174.0ms
(* x (- (/ y z) (* (* t (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z))))) (cbrt (/ 1 (- 1.0 z))))))

series543.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (/ 1 (- 1.0 z)))
170.0ms
(cbrt (/ 1 (- 1.0 z)))
148.0ms
(cbrt (/ 1 (- 1.0 z)))
77.0ms
(* x (- (/ y z) (* (* t (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z))))) (cbrt (/ 1 (- 1.0 z))))))

simplify64.0ms

Counts
133 → 133

prune833.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.4b

localize54.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ 1 (- 1.0 z)))
0.4b
(cbrt (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z)))))
0.4b
(cbrt (cbrt (/ 1 (- 1.0 z))))
3.6b
(* x (- (/ y z) (* (* t (* (* (cbrt (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z))))) (cbrt (cbrt (/ 1 (- 1.0 z))))) (cbrt (/ 1 (- 1.0 z))))) (cbrt (/ 1 (- 1.0 z))))))

rewrite720.0ms

Algorithm
rewrite-expression-head
Rules
130×cbrt-div
79×associate-*r/
67×cbrt-prod
50×frac-times associate-*l/
39×add-sqr-sqrt
37×*-un-lft-identity
31×frac-sub
30×times-frac
25×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
4×associate-/r/ add-log-exp
3×flip3-- pow1/3 associate-*r* associate-*l* flip--
2×distribute-rgt-in sub-neg distribute-lft-in div-inv
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 130
Calls
4 calls:
11.0ms
(cbrt (/ 1 (- 1.0 z)))
31.0ms
(cbrt (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z)))))
8.0ms
(cbrt (cbrt (/ 1 (- 1.0 z))))
656.0ms
(* x (- (/ y z) (* (* t (* (* (cbrt (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z))))) (cbrt (cbrt (/ 1 (- 1.0 z))))) (cbrt (/ 1 (- 1.0 z))))) (cbrt (/ 1 (- 1.0 z))))))

series599.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt (/ 1 (- 1.0 z)))
184.0ms
(cbrt (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z)))))
155.0ms
(cbrt (cbrt (/ 1 (- 1.0 z))))
79.0ms
(* x (- (/ y z) (* (* t (* (* (cbrt (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z))))) (cbrt (cbrt (/ 1 (- 1.0 z))))) (cbrt (/ 1 (- 1.0 z))))) (cbrt (/ 1 (- 1.0 z))))))

simplify144.0ms

Counts
142 → 142

prune904.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes690.0ms

Accuracy

35.4% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 4.5b

bsearch2.0ms

simplify75.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
598.0ms10156×body80valid