Details

Time bar (total: 14.2s)

sample30.0ms

Algorithm
intervals
Results
14.0ms311×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66012
76212
done6212

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.2b
(* (/ x y) z)

rewrite159.0ms

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:
23.0ms
(/ (+ x 4.0) y)
109.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
23.0ms
(* (/ x y) z)

series131.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (+ x 4.0) y)
53.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
27.0ms
(* (/ x y) z)

simplify2.7s

Counts
126 → 126
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01651542
13981481
211521348
337461275
done50001256

prune378.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.5b
(* x (/ z y))

rewrite150.0ms

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-*r*
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:
21.0ms
(/ (+ x 4.0) y)
106.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
18.0ms
(* x (/ z y))

series122.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (+ x 4.0) y)
54.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
25.0ms
(* x (/ z y))

simplify2.1s

Counts
126 → 126
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01651558
14051485
211391360
335701306
done50001287

prune433.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
2.1b
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
92.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

series795.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt y)
251.0ms
(cbrt y)
229.0ms
(cbrt y)
67.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

simplify1.4s

Counts
112 → 112
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01441257
14041201
21699903
done5001806

prune487.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ 4.0 y))
0.0b
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
3.2b
(* (/ x y) z)

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
37×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt
13×fma-def associate-*l*
12×distribute-lft-out
10×add-log-exp
8×add-exp-log fma-neg prod-diff add-cbrt-cube div-inv
5×pow1
4×associate-*l/
3×expm1-log1p-u distribute-rgt-out associate-*r* frac-sub log1p-expm1-u
2×flip3-+ diff-log frac-add prod-exp sum-log cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 101
Calls
3 calls:
24.0ms
(+ (/ x y) (/ 4.0 y))
308.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
16.0ms
(* (/ x y) z)

series109.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (/ x y) (/ 4.0 y))
48.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
27.0ms
(* (/ x y) z)

simplify3.0s

Counts
110 → 110
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01531289
13831218
212251081
34964970
done5000970

prune307.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01319
11519
done1519

end0.0ms

sample1.1s

Algorithm
intervals
Results
659.0ms10153×body80valid