Details

Time bar (total: 3.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms294×body80valid

simplify92.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2443
3703
41003
51173
64203
729763
850013
done50013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.2b
(/ (* x (- y z)) y)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
23.0ms
(* x (- y z))
22.0ms
(/ (* x (- y z)) y)

series101.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (- y z))
60.0ms
(/ (* x (- y z)) y)

simplify56.0ms

Counts
77 → 77
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0299483
11416328
25001328
done5001328

prune124.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.6b
(* x (/ (- y z) y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
18.0ms
(/ (- y z) y)
32.0ms
(* x (/ (- y z) y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (- y z) y)
60.0ms
(* x (/ (- y z) y))

simplify53.0ms

Counts
86 → 86
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0270409
11205378
25001377
done5001377

prune182.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
1.6b
(* x (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
18×add-sqr-sqrt
15×cbrt-prod *-un-lft-identity
14×add-cbrt-cube
9×add-cube-cbrt prod-exp cbrt-unprod
6×pow1 cbrt-div
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 83
Calls
4 calls:
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
62.0ms
(* x (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt (- y z))
174.0ms
(cbrt (- y z))
176.0ms
(cbrt (- y z))
197.0ms
(* x (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))))

simplify58.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0368771
11508666
25001627
done5001627

prune340.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (cbrt x) (/ (- y z) y))
2.5b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) y)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
30×add-exp-log
23×*-un-lft-identity
20×associate-*r*
18×pow1 add-cbrt-cube
17×add-cube-cbrt times-frac
15×prod-exp cbrt-unprod
11×cbrt-prod
9×pow-prod-down
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv associate-*r/ div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
31.0ms
(* (cbrt x) (/ (- y z) y))
57.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) y)))

series755.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt x)
212.0ms
(cbrt x)
229.0ms
(* (cbrt x) (/ (- y z) y))
91.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) y)))

simplify69.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0356708
11651572
25001533
done5001533

prune242.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

-29.9% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.1b

bsearch71.0ms

Steps
ItersRangePoint
9
3.494947854256038e+36
3.475263835047251e+45
3.572580006165377e+36
8
-2.2416054230608577e-248
-1.872794966336752e-252
-1.4464146076820333e-250

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02721
12721
done2721

end0.0ms

sample463.0ms

Algorithm
intervals
Results
202.0ms9612×body80valid