Details

Time bar (total: 12.5s)

sample35.0ms

Algorithm
intervals
Results
24.0ms330×body80valid

simplify47.0ms

Counts
1 → 1
Iterations
IterNodes
done58
758
655
552
446
339
229
116
010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
2.1b
(* (/ x y) z)

rewrite94.0ms

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
pow1 add-log-exp
div-inv associate-/l*
expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
15.0ms
(/ (+ x 4) y)
57.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

series120.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (+ x 4) y)
49.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
41.0ms
(* (/ x y) z)

simplify1.9s

Counts
129 → 129
Iterations
IterNodes
done5003
21456
1416
0168

prune564.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 4 y) (/ x y))
0.0b
(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
2.1b
(* (/ x y) z)

rewrite224.0ms

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
add-cbrt-cube fma-neg prod-diff add-exp-log div-inv
pow1
associate-*l/
expm1-log1p-u distribute-rgt-out associate-*r* frac-sub insert-posit16 log1p-expm1-u
sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 104
Calls
3 calls:
23.0ms
(+ (/ 4 y) (/ x y))
169.0ms
(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
28.0ms
(* (/ x y) z)

series138.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (/ 4 y) (/ x y))
60.0ms
(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
39.0ms
(* (/ x y) z)

simplify1.9s

Counts
113 → 113
Iterations
IterNodes
done5000
21820
1401
0156

prune599.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (/ x y) z)
11.6b
(cbrt (* (/ x y) z))
11.6b
(cbrt (* (/ x y) z))
11.6b
(cbrt (* (/ x y) z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
add-cbrt-cube add-exp-log
pow1
expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 74
Calls
4 calls:
22.0ms
(* (/ x y) z)
7.0ms
(cbrt (* (/ x y) z))
5.0ms
(cbrt (* (/ x y) z))
5.0ms
(cbrt (* (/ x y) z))

series376.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (/ x y) z)
96.0ms
(cbrt (* (/ x y) z))
110.0ms
(cbrt (* (/ x y) z))
129.0ms
(cbrt (* (/ x y) z))

simplify1.7s

Counts
86 → 86
Iterations
IterNodes
done5002
32362
2687
1228
0107

prune533.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (/ x y))
11.6b
(cbrt (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z)))
11.6b
(cbrt (* (/ x y) z))
11.6b
(cbrt (* (/ x y) z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-div
16×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity associate-*l/ add-cube-cbrt
times-frac
frac-times
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
associate-*r/
div-inv
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt (/ x y))
35.0ms
(cbrt (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z)))
9.0ms
(cbrt (* (/ x y) z))
10.0ms
(cbrt (* (/ x y) z))

series376.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(cbrt (/ x y))
102.0ms
(cbrt (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z)))
103.0ms
(cbrt (* (/ x y) z))
95.0ms
(cbrt (* (/ x y) z))

simplify1.7s

Counts
82 → 82
Iterations
IterNodes
done5002
43428
31140
2457
1249
0149

prune538.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done26
126
021

end0.0ms

sample1.3s

Algorithm
intervals
Results
996.0ms10180×body80valid