Details

Time bar (total: 8.4s)

sample26.0ms

Algorithm
intervals
Results
10.0ms117×pre10240exit
4.0ms256×body80valid
2.0ms139×pre80true

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2127
done127

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
7.6b
(- (/ x0 (- 1.0 x1)) x0)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
16×times-frac
12×add-cube-cbrt
6×difference-of-squares
5×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 52
Calls
2 calls:
10.0ms
(/ x0 (- 1.0 x1))
55.0ms
(- (/ x0 (- 1.0 x1)) x0)

series83.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x0 (- 1.0 x1))
48.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify1.7s

Counts
58 → 58
Iterations

Useful iterations: 4 (873.0ms)

IterNodesCost
0117677
1245641
2585613
31356593
43233590
done5000590

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (- 1.0 x1) (- 1.0 x1))
0.7b
(+ (/ x0 (- 1.0 x1)) x0)
0.8b
(/ x0 (- 1.0 x1))
6.1b
(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
40×add-sqr-sqrt
18×add-cube-cbrt
16×times-frac
11×pow1 distribute-lft-out--
10×difference-of-squares
8×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
7×swap-sqr
5×associate-*r* associate-*l* associate-/r*
4×frac-times
3×sub-neg associate-/l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate-/r/
1×cbrt-undiv +-commutative pow2 frac-2neg flip3-+ pow-plus diff-log div-exp pow-prod-down prod-exp clear-num sum-log pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 109
Calls
4 calls:
36.0ms
(* (- 1.0 x1) (- 1.0 x1))
41.0ms
(+ (/ x0 (- 1.0 x1)) x0)
10.0ms
(/ x0 (- 1.0 x1))
253.0ms
(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

series159.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (- 1.0 x1) (- 1.0 x1))
37.0ms
(+ (/ x0 (- 1.0 x1)) x0)
38.0ms
(/ x0 (- 1.0 x1))
68.0ms
(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

simplify830.0ms

Counts
121 → 121
Iterations

Useful iterations: done (826.0ms)

IterNodesCost
01941524
14451424
214031322
done50001279

prune175.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3)
0.7b
(+ (/ x0 (- 1.0 x1)) x0)
0.8b
(/ x0 (- 1.0 x1))
3.8b
(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
39×*-un-lft-identity
33×unpow-prod-down cube-prod
29×times-frac
28×difference-of-squares
19×add-cube-cbrt
18×associate-/r/
14×flip3-- flip--
12×add-exp-log add-cbrt-cube
11×sqr-pow
9×distribute-lft-out--
8×frac-times add-log-exp
5×pow1 associate-/r*
4×associate-*r/ associate-*l/
3×cbrt-undiv pow-unpow div-exp pow-exp div-inv associate-/l* rem-cube-cbrt
1×difference-cubes +-commutative cube-div cube-mult pow-to-exp sub-neg pow-pow frac-2neg flip3-+ diff-log unpow3 prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 143
Calls
4 calls:
23.0ms
(pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3)
39.0ms
(+ (/ x0 (- 1.0 x1)) x0)
10.0ms
(/ x0 (- 1.0 x1))
142.0ms
(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

series256.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3)
39.0ms
(+ (/ x0 (- 1.0 x1)) x0)
35.0ms
(/ x0 (- 1.0 x1))
100.0ms
(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

simplify1.1s

Counts
155 → 155
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02722973
17202773
224032550
done50012542

prune348.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
1.3b
(pow (- 1.0 x1) 6)
1.7b
(log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))))
3.8b
(- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))

rewrite654.0ms

Algorithm
rewrite-expression-head
Rules
250×add-sqr-sqrt
111×times-frac
109×difference-of-squares
87×unpow-prod-down
83×sqr-pow
57×log-pow
56×exp-prod
50×cube-prod
32×*-un-lft-identity
18×add-cube-cbrt
7×add-exp-log distribute-lft-out--
6×pow1 add-cbrt-cube add-log-exp
5×log-prod associate-/r*
3×pow-unpow associate-/l*
2×sub-neg flip3-- exp-sum associate-/r/ flip--
1×cbrt-undiv pow-to-exp log-div pow-pow frac-2neg exp-diff diff-log div-exp rem-log-exp pow-exp clear-num div-inv
Counts
4 → 192
Calls
4 calls:
10.0ms
(/ x0 (- 1.0 x1))
9.0ms
(pow (- 1.0 x1) 6)
449.0ms
(log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))))
174.0ms
(- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))

series268.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ x0 (- 1.0 x1))
39.0ms
(pow (- 1.0 x1) 6)
97.0ms
(log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))))
98.0ms
(- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))

simplify696.0ms

Counts
204 → 204
Iterations

Useful iterations: done (689.0ms)

IterNodesCost
03234077
16353618
214753465
done50013437

prune533.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 2.0b

regimes90.0ms

Accuracy

89.5% (0.1b remaining)

Error of 2.1b against oracle of 1.9b and baseline of 3.3b

bsearch51.0ms

Steps
ItersRangePoint
7
0.000209
0.0186
0.0006625985107421874

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042134
150134
done50134

end0.0ms

sample692.0ms

Algorithm
intervals
Results
328.0ms3905×pre10240exit
120.0ms8000×body80valid
56.0ms4095×pre80true