Details

Time bar (total: 6.6s)

sample29.0ms

Algorithm
intervals
Results
14.0ms143×pre10240exit
4.0ms256×body80valid
2.0ms113×pre80true

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2127
done127

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
7.3b
(- (/ x0 (- 1.0 x1)) x0)

rewrite37.0ms

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:
5.0ms
(/ x0 (- 1.0 x1))
31.0ms
(- (/ x0 (- 1.0 x1)) x0)

series79.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x0 (- 1.0 x1))
46.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify1.5s

Counts
58 → 58
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0117677
1255641
2774613
33016601
done5000600

prune83.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.7b
(/ x0 (- 1.0 x1))
0.8b
(+ (/ x0 (- 1.0 x1)) x0)
6.0b
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
24×add-cube-cbrt
10×associate-/r*
9×difference-of-squares
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp
6×associate-/l*
4×pow1 associate-/r/
3×flip3-- flip--
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 99
Calls
4 calls:
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
25.0ms
(+ (/ x0 (- 1.0 x1)) x0)
10.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series173.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ x0 (- 1.0 x1))
33.0ms
(/ x0 (- 1.0 x1))
34.0ms
(+ (/ x0 (- 1.0 x1)) x0)
71.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify459.0ms

Counts
111 → 111
Iterations

Useful iterations: done (456.0ms)

IterNodesCost
01491443
13491351
212681259
done50001229

prune184.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.7b
(/ x0 (- 1.0 x1))
0.8b
(+ (/ x0 (- 1.0 x1)) x0)
6.0b
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
24×add-cube-cbrt
10×associate-/r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
6×associate-/l*
4×pow1 associate-/r/
3×flip3-- flip--
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 98
Calls
4 calls:
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
25.0ms
(+ (/ x0 (- 1.0 x1)) x0)
69.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

series190.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ x0 (- 1.0 x1))
35.0ms
(/ x0 (- 1.0 x1))
34.0ms
(+ (/ x0 (- 1.0 x1)) x0)
87.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

simplify465.0ms

Counts
110 → 110
Iterations

Useful iterations: done (462.0ms)

IterNodesCost
01521663
13691591
213981493
done50011491

prune263.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 3.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))
0.8b
(+ (/ x0 (- 1.0 x1)) x0)
3.6b
(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))))
6.0b
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
78×times-frac
54×*-un-lft-identity associate-*r*
46×sqrt-prod
38×add-cube-cbrt
30×cbrt-prod
25×add-exp-log
18×add-cbrt-cube
15×unswap-sqr
14×associate-*l*
8×prod-exp cbrt-unprod add-log-exp
7×pow1 cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
5×log-prod
4×sqrt-div associate-/r/ log-pow
3×exp-prod flip3-- flip--
2×sub-neg exp-sum div-inv
1×+-commutative frac-times log-div flip3-+ exp-diff diff-log associate-*r/ rem-log-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 149
Calls
4 calls:
54.0ms
(* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))
22.0ms
(+ (/ x0 (- 1.0 x1)) x0)
252.0ms
(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))))
69.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

series254.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))
33.0ms
(+ (/ x0 (- 1.0 x1)) x0)
87.0ms
(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))))
86.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

simplify1.1s

Counts
161 → 161
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03024217
18464017
234303070
done50013064

prune384.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.7b

regimes61.0ms

Accuracy

0% (1.1b remaining)

Error of 5.1b against oracle of 4.0b and baseline of 5.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01940
12438
done2438

end0.0ms

sample704.0ms

Algorithm
intervals
Results
370.0ms3945×pre10240exit
136.0ms8000×body80valid
59.0ms4055×pre80true