Details

Time bar (total: 15.8s)

sample45.0ms

Algorithm
intervals
Results
21.0ms320×body80valid

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010244
116244
229244
339244
446244
552244
655244
758244
done58244

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite155.0ms

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:
25.0ms
(/ (+ x 4.0) y)
102.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

series143.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (+ x 4.0) y)
80.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms
(* (/ x y) z)

simplify2.2s

Counts
126 → 126
Iterations

Useful iterations: done (2.2s)

IterNodesCost
016529903
141128516
2142627121
done500026836

prune692.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
0.1b
(* (+ x 4.0) (/ 1 y))
3.0b
(* (/ x y) z)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
22×*-un-lft-identity
21×times-frac
19×add-cube-cbrt
17×associate-*l* add-exp-log
16×associate-*r*
13×add-cbrt-cube associate-*l/
7×pow1
6×prod-exp frac-sub
5×add-log-exp unswap-sqr
4×frac-times flip3-+ cbrt-unprod flip-+
3×expm1-log1p-u div-exp associate-*r/ un-div-inv log1p-expm1-u
2×cbrt-undiv pow-prod-down *-commutative div-inv sub-div
1×rec-exp sub-neg flip3-- fma-neg diff-log 1-exp prod-diff flip-- distribute-lft-out
Counts
3 → 101
Calls
3 calls:
18.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
28.0ms
(* (+ x 4.0) (/ 1 y))
23.0ms
(* (/ x y) z)

series140.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
40.0ms
(* (+ x 4.0) (/ 1 y))
40.0ms
(* (/ x y) z)

simplify2.6s

Counts
110 → 110
Iterations

Useful iterations: done (2.6s)

IterNodesCost
020127205
155223361
2209020550
done500020270

prune644.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* (/ x (cbrt y)) z)
4.2b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
31.0ms
(* (/ x (cbrt y)) z)
115.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series881.0ms

Counts
4 → 12
Calls
4 calls:
315.0ms
(cbrt y)
262.0ms
(cbrt y)
211.0ms
(* (/ x (cbrt y)) z)
93.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify3.1s

Counts
135 → 135
Iterations

Useful iterations: done (3.1s)

IterNodesCost
017640054
146235031
2162132624
done500130984

prune877.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

2.9b
(/ (- (+ x 4.0) (* x z)) y)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 32
Calls
1 calls:
101.0ms
(/ (- (+ x 4.0) (* x z)) y)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify2.1s

Counts
35 → 35
Iterations

Useful iterations: done (2.1s)

IterNodesCost
07010212
11759874
25649646
326909646
done50009571

prune205.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes243.0ms

Accuracy

44.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.7b

bsearch127.0ms

Steps
ItersRangePoint
5
4.623736618629093e-128
1.744681020596446e-127
1.5540150688691894e-127
9
-2.411466371428824e+129
-3.070866551752463e+124
-3.2391029029223984e+124

simplify10.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
026921
130921
done30921

end0.0ms

sample1.1s

Algorithm
intervals
Results
737.0ms10142×body80valid