Details

Time bar (total: 14.4s)

sample31.0ms

Algorithm
intervals
Results
14.0ms322×body80valid

simplify79.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

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:
84.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(/ (+ x 4.0) y)
25.0ms
(* (/ x y) z)

series151.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
49.0ms
(/ (+ x 4.0) y)
35.0ms
(* (/ x y) z)

simplify2.0s

Counts
126 → 126
Iterations
IterNodes
done5001
22058
1411
0165

prune707.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))
3.2b
(* (/ x y) z)

rewrite338.0ms

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:
280.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
36.0ms
(+ (/ x y) (/ 4.0 y))
15.0ms
(* (/ x y) z)

series143.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
43.0ms
(+ (/ x y) (/ 4.0 y))
28.0ms
(* (/ x y) z)

simplify2.5s

Counts
110 → 110
Iterations
IterNodes
done5001
22064
1396
0153

prune778.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.9b
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
2.5b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×add-sqr-sqrt pow1
17×prod-exp cbrt-unprod
15×*-un-lft-identity add-cube-cbrt
14×associate-*l*
10×times-frac
9×cbrt-prod pow-prod-down
7×associate-*r*
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
130.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
54.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt z)
239.0ms
(cbrt z)
56.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
154.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify1.3s

Counts
106 → 106
Iterations
IterNodes
done5000
21977
1366
0130

prune579.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))
0.9b
(* (* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (cbrt z))
2.5b
(* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
31×add-cbrt-cube prod-exp cbrt-unprod
27×pow1
16×pow-prod-down
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×associate-*l*
13×cbrt-prod
9×times-frac
7×associate-*r*
6×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 103
Calls
4 calls:
8.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(cbrt (cbrt z))
324.0ms
(* (* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (cbrt z))
84.0ms
(* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series955.0ms

Counts
4 → 12
Calls
4 calls:
401.0ms
(cbrt (* (cbrt z) (cbrt z)))
337.0ms
(cbrt (cbrt z))
66.0ms
(* (* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (cbrt z))
150.0ms
(* (/ x y) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify1.6s

Counts
115 → 115
Iterations
IterNodes
done5000
22341
1453
0172

prune551.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes213.0ms

Accuracy

73.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch74.0ms

Steps
ItersRangePoint
7
1.3961012349491572e-162
2.089064597584604e-160
1.0296033599100243e-161
7
-20115983647.1179
-81829953.9245951
-16246640829.172636

simplify5.0ms

Iterations
IterNodes
done28
128
021

end0.0ms

sample738.0ms

Algorithm
intervals
Results
516.0ms10040×body80valid