Details

Time bar (total: 10.4s)

sample28.0ms

Algorithm
intervals
Results
13.0ms332×body80valid

simplify109.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66112
76312
done6312

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.4b
(* (/ x y) z)

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
37.0ms
(/ (+ x 4.0) y)
128.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(* (/ x y) z)

series129.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (+ x 4.0) y)
60.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
28.0ms
(* (/ x y) z)

simplify2.1s

Counts
126 → 126
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01651542
14121481
220911348
done50001303

prune490.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
93.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series828.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt x)
261.0ms
(cbrt x)
255.0ms
(cbrt x)
39.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify2.3s

Counts
102 → 102
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01251658
14321592
22583862
done5001539

prune461.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

1.9b
(fma (/ x y) (- 1 z) (/ 4.0 y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

simplify517.0ms

Counts
13 → 13
Iterations

Useful iterations: done (516.0ms)

IterNodesCost
025184
146181
2109158
3516158
done5001149

prune96.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (/ x y) z)
14.9b
(cbrt (* (/ x y) z))
14.9b
(cbrt (* (/ x y) z))
14.9b
(cbrt (* (/ x y) z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
16.0ms
(* (/ x y) z)
16.0ms
(cbrt (* (/ x y) z))
12.0ms
(cbrt (* (/ x y) z))
7.0ms
(cbrt (* (/ x y) z))

series411.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (/ x y) z)
113.0ms
(cbrt (* (/ x y) z))
125.0ms
(cbrt (* (/ x y) z))
149.0ms
(cbrt (* (/ x y) z))

simplify689.0ms

Counts
82 → 82
Iterations

Useful iterations: done (687.0ms)

IterNodesCost
0105705
1226688
2940618
done5001572

prune354.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
11926
done1926

end0.0ms

sample1.2s

Algorithm
intervals
Results
726.0ms10181×body80valid