Details

Time bar (total: 12.9s)

sample52.0ms

Algorithm
intervals
Results
22.0ms318×body80valid

simplify91.0ms

Counts
1 → 1
Iterations
IterNodes
done63
763
661
555
449
342
229
116
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.3b
(* (/ x y) z)

rewrite122.0ms

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-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 117
Calls
3 calls:
28.0ms
(/ (+ x 4.0) y)
62.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms
(* (/ x y) z)

series136.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (+ x 4.0) y)
60.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
27.0ms
(* (/ x y) z)

simplify2.1s

Counts
126 → 126
Iterations
IterNodes
done5001
22049
1411
0165

prune846.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt y)
248.0ms
(cbrt x)
289.0ms
(cbrt x)
229.0ms
(cbrt x)

simplify1.0s

Counts
64 → 64
Iterations
IterNodes
done5000
41995
3668
2215
179
046

prune473.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt y)
290.0ms
(cbrt x)
210.0ms
(cbrt x)
271.0ms
(cbrt x)

simplify1.0s

Counts
64 → 64
Iterations
IterNodes
done5000
41995
3668
2215
179
046

prune541.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
0.0b
(+ (/ x y) (/ 4.0 y))
3.3b
(* (/ x y) z)

rewrite361.0ms

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-cbrt-cube fma-neg prod-diff add-exp-log div-inv
5×pow1
4×associate-*l/
3×expm1-log1p-u distribute-rgt-out associate-*r* frac-sub log1p-expm1-u
2×sum-log flip3-+ diff-log frac-add prod-exp 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:
306.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
35.0ms
(+ (/ x y) (/ 4.0 y))
13.0ms
(* (/ x y) z)

series136.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
34.0ms
(+ (/ x y) (/ 4.0 y))
31.0ms
(* (/ x y) z)

simplify1.7s

Counts
110 → 110
Iterations
IterNodes
done5001
22064
1396
0153

prune523.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes236.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done23
123
019

end0.0ms

sample1.3s

Algorithm
intervals
Results
847.0ms10022×body80valid