Details

Time bar (total: 12.4s)

sample27.0ms

Algorithm
intervals
Results
11.0ms258×body80valid

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
done22
522
421
319
217
113
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b
(* (/ 841.0 108.0) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×*-un-lft-identity times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down frac-add *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
12.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
20.0ms
(* (/ 841.0 108.0) x)

series82.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
37.0ms
(* (/ 841.0 108.0) x)

simplify1.1s

Counts
50 → 50
Iterations
IterNodes
done5000
21056
1246
097

prune275.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
0.2b
(/ (* 841.0 x) 108.0)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×associate-/r* times-frac
2×pow1 cbrt-undiv div-exp
1×+-commutative clear-num sum-log frac-2neg flip3-+ frac-add prod-exp cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 34
Calls
2 calls:
18.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
15.0ms
(/ (* 841.0 x) 108.0)

series80.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
28.0ms
(/ (* 841.0 x) 108.0)

simplify1.0s

Counts
40 → 40
Iterations
IterNodes
done5001
2926
1210
079

prune179.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b
(* (cbrt (/ 841.0 108.0)) x)
0.3b
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
79×cbrt-prod
76×add-sqr-sqrt
52×times-frac
45×*-un-lft-identity add-cube-cbrt
33×associate-*l*
29×cbrt-div
25×pow1
20×associate-*r* associate-*l/ add-exp-log
16×swap-sqr
12×unswap-sqr
11×frac-times add-cbrt-cube pow-prod-down
10×prod-exp cbrt-unprod
7×frac-add associate-*r/
6×pow1/3 add-log-exp
5×div-inv
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 +-commutative sum-log flip3-+ pow-plus flip-+
Counts
4 → 159
Calls
4 calls:
65.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
16.0ms
(* (cbrt (/ 841.0 108.0)) x)
78.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
47.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series353.0ms

Counts
4 → 10
Calls
4 calls:
165.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
60.0ms
(* (cbrt (/ 841.0 108.0)) x)
128.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify2.3s

Counts
169 → 169
Iterations
IterNodes
done5001
22506
1520
0235

prune850.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 841.0 (/ 108.0 x))
0.3b
(/ 841.0 (/ 108.0 x))
0.3b
(/ 841.0 (/ 108.0 x))
19.8b
(/ (+ (* (* (/ 841.0 (/ 108.0 x)) (/ 841.0 (/ 108.0 x))) (/ 841.0 (/ 108.0 x))) (* (* (/ 4.0 29.0) (/ 4.0 29.0)) (/ 4.0 29.0))) (+ (* (/ 4.0 29.0) (/ 4.0 29.0)) (* (/ 841.0 (/ 108.0 x)) (- (/ 841.0 (/ 108.0 x)) (/ 4.0 29.0)))))

rewrite455.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
139×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
86×frac-times
80×associate-*l/
70×frac-add
58×associate-*r/
51×associate-/l/
42×associate-/r*
26×associate-/r/
21×add-cbrt-cube add-exp-log
16×div-inv
13×associate-/l*
10×cbrt-undiv div-exp
8×pow3
6×flip3-- frac-sub flip--
4×pow1 clear-num frac-2neg sum-cubes add-log-exp
2×flip3-+ flip-+
Counts
4 → 315
Calls
4 calls:
11.0ms
(/ 841.0 (/ 108.0 x))
10.0ms
(/ 841.0 (/ 108.0 x))
11.0ms
(/ 841.0 (/ 108.0 x))
401.0ms
(/ (+ (* (* (/ 841.0 (/ 108.0 x)) (/ 841.0 (/ 108.0 x))) (/ 841.0 (/ 108.0 x))) (* (* (/ 4.0 29.0) (/ 4.0 29.0)) (/ 4.0 29.0))) (+ (* (/ 4.0 29.0) (/ 4.0 29.0)) (* (/ 841.0 (/ 108.0 x)) (- (/ 841.0 (/ 108.0 x)) (/ 4.0 29.0)))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 841.0 (/ 108.0 x))
22.0ms
(/ 841.0 (/ 108.0 x))
20.0ms
(/ 841.0 (/ 108.0 x))
210.0ms
(/ (+ (* (* (/ 841.0 (/ 108.0 x)) (/ 841.0 (/ 108.0 x))) (/ 841.0 (/ 108.0 x))) (* (* (/ 4.0 29.0) (/ 4.0 29.0)) (/ 4.0 29.0))) (+ (* (/ 4.0 29.0) (/ 4.0 29.0)) (* (/ 841.0 (/ 108.0 x)) (- (/ 841.0 (/ 108.0 x)) (/ 4.0 29.0)))))

simplify2.6s

Counts
327 → 327
Iterations
IterNodes
done5001
24996
11013
0361

prune1.9s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample422.0ms

Algorithm
intervals
Results
274.0ms8009×body80valid
0.0ms2×body1280valid