Details

Time bar (total: 10.8s)

sample46.0ms

Algorithm
intervals
Results
20.0ms315×body80valid

simplify112.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite295.0ms

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:
22.0ms
(/ t (- 1.0 z))
43.0ms
(- (/ y z) (/ t (- 1.0 z)))
224.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series158.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ t (- 1.0 z))
46.0ms
(- (/ y z) (/ t (- 1.0 z)))
64.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify641.0ms

Counts
98 → 98

prune393.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (* 1 (/ t (- 1.0 z))))
4.6b
(* x (- (/ y z) (* 1 (/ t (- 1.0 z)))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt *-un-lft-identity
15×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×distribute-lft-out--
5×pow1 associate-*r/ associate-/r* add-log-exp
4×associate-*r* difference-of-squares
3×sub-neg flip3-- 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 → 77
Calls
3 calls:
13.0ms
(/ t (- 1.0 z))
23.0ms
(- (/ y z) (* 1 (/ t (- 1.0 z))))
84.0ms
(* x (- (/ y z) (* 1 (/ t (- 1.0 z)))))

series167.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ t (- 1.0 z))
63.0ms
(- (/ y z) (* 1 (/ t (- 1.0 z))))
61.0ms
(* x (- (/ y z) (* 1 (/ t (- 1.0 z)))))

simplify761.0ms

Counts
86 → 86

prune290.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
4.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite166.0ms

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:
21.0ms
(/ 1 (- 1.0 z))
25.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
35.0ms
(* t (/ 1 (- 1.0 z)))
76.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series222.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (- 1.0 z))
52.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
60.0ms
(* t (/ 1 (- 1.0 z)))
78.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify917.0ms

Counts
137 → 137

prune422.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.6b

localize30.0ms

Local error

Found 4 expressions with local error:

4.6b
(* x (- (/ y z) (* 1 (/ t (- 1.0 z)))))
6.1b
(cbrt (* x (- (/ y z) (* 1 (/ t (- 1.0 z))))))
6.1b
(cbrt (* x (- (/ y z) (* 1 (/ t (- 1.0 z))))))
6.1b
(cbrt (* x (- (/ y z) (* 1 (/ t (- 1.0 z))))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*r/
9×cbrt-div
8×add-sqr-sqrt
7×*-un-lft-identity
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×flip3-- associate-*r* frac-sub flip-- add-log-exp
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 distribute-lft-out-- unswap-sqr
Counts
4 → 62
Calls
4 calls:
89.0ms
(* x (- (/ y z) (* 1 (/ t (- 1.0 z)))))
15.0ms
(cbrt (* x (- (/ y z) (* 1 (/ t (- 1.0 z))))))
19.0ms
(cbrt (* x (- (/ y z) (* 1 (/ t (- 1.0 z))))))
25.0ms
(cbrt (* x (- (/ y z) (* 1 (/ t (- 1.0 z))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
76.0ms
(* x (- (/ y z) (* 1 (/ t (- 1.0 z)))))
343.0ms
(cbrt (* x (- (/ y z) (* 1 (/ t (- 1.0 z))))))
372.0ms
(cbrt (* x (- (/ y z) (* 1 (/ t (- 1.0 z))))))
399.0ms
(cbrt (* x (- (/ y z) (* 1 (/ t (- 1.0 z))))))

simplify590.0ms

Counts
74 → 74

prune332.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.6b

regimes248.0ms

Accuracy

0% (3.7b remaining)

Error of 4.5b against oracle of 0.8b and baseline of 4.5b

bsearch142.0ms

Steps
ItersRangePoint
10
1.6762471786006816e-206
8.257575859383211e-194
8.493095129058636e-198
10
-2.1200870622588525e-269
-3.684321502737746e-281
-2.091203968982807e-269

simplify1.8s

end0.0ms

sample1.5s

Algorithm
intervals
Results
646.0ms10105×body80valid