Details

Time bar (total: 20.7s)

sample51.0ms

Algorithm
intervals
Results
24.0ms329×body80valid

simplify80.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66012
76212
done6212

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize11.0ms

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)

rewrite172.0ms

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)
99.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
26.0ms
(* (/ x y) z)

series177.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (+ x 4.0) y)
87.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
43.0ms
(* (/ x y) z)

simplify3.1s

Counts
126 → 126
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01651542
13981481
211521348
337461275
done50001256

prune484.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
3.4b
(* (/ x y) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 44
Calls
2 calls:
0.0ms
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
24.0ms
(* (/ x y) z)

series119.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
35.0ms
(* (/ x y) z)

simplify3.2s

Counts
50 → 50
Iterations

Useful iterations: 3 (569.0ms)

IterNodesCost
086493
1189485
2539396
31569383
done5000383

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
9.6b
(cbrt (/ x y))
9.6b
(cbrt (/ x y))
9.6b
(cbrt (/ x y))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
65.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
3.0ms
(cbrt (/ x y))
10.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))

series298.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
97.0ms
(cbrt (/ x y))
96.0ms
(cbrt (/ x y))
77.0ms
(cbrt (/ x y))

simplify5.5s

Counts
115 → 115
Iterations

Useful iterations: 4 (3.8s)

IterNodesCost
01251365
12611317
27371035
31857921
44945891
done5000891

prune625.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.9b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (/ (cbrt x) (cbrt y)) z))
9.6b
(cbrt (/ x y))
9.6b
(cbrt (/ x y))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
25×add-exp-log
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
16×pow1
15×add-cbrt-cube
13×prod-exp cbrt-unprod
10×cbrt-div
9×associate-*l/
8×pow-prod-down
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/
2×cbrt-undiv div-exp div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 96
Calls
4 calls:
2.0ms
(cbrt x)
109.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (/ (cbrt x) (cbrt y)) z))
5.0ms
(cbrt (/ x y))
5.0ms
(cbrt (/ x y))

series547.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt x)
40.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (/ (cbrt x) (cbrt y)) z))
121.0ms
(cbrt (/ x y))
96.0ms
(cbrt (/ x y))

simplify3.8s

Counts
108 → 108
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01541347
13351294
211481077
34739991
done5000991

prune551.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

94.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch108.0ms

Steps
ItersRangePoint
8
2.4435989271997895e-18
9.904262439501984e-16
1.7557050618985933e-16
8
-2.381781045954476e+25
-5.683048547362338e+21
-9.993061933414586e+24

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02044
12633
done2633

end0.0ms

sample1.2s

Algorithm
intervals
Results
718.0ms10105×body80valid