Details

Time bar (total: 24.5s)

sample73.0ms

Algorithm
intervals
Results
44.0ms434×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5000
74383
61002
5377
4203
3110
259
123
011

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (* (/ (+ z x) y) (- x z)))
0.0b
(/ (+ z x) y)
0.3b
(* (/ (+ z x) y) (- x z))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
53×add-sqr-sqrt
46×add-cube-cbrt
36×prod-diff
25×times-frac
22×distribute-rgt-in associate-+r+ distribute-lft-in
16×associate-*l*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×pow1 associate-*r* add-log-exp
4×sub-neg associate-/l*
3×expm1-log1p-u associate-/r* fma-def log1p-expm1-u
2×frac-times cbrt-undiv flip3-+ flip3-- div-exp prod-exp associate-*r/ cbrt-unprod flip-+ div-inv flip-- unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 138
Calls
3 calls:
21.0ms
(+ y (* (/ (+ z x) y) (- x z)))
26.0ms
(/ (+ z x) y)
55.0ms
(* (/ (+ z x) y) (- x z))

series200.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ y (* (/ (+ z x) y) (- x z)))
39.0ms
(/ (+ z x) y)
89.0ms
(* (/ (+ z x) y) (- x z))

simplify2.5s

Counts
147 → 147
Iterations
IterNodes
done5001
23602
1620
0222

prune916.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
60.1b
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

series1.7s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt x)
308.0ms
(cbrt x)
298.0ms
(cbrt x)
824.0ms
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

simplify5.8s

Counts
61 → 61
Iterations
IterNodes
done5000
43409
3612
2171
171
043

prune539.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ (+ z x) y) (- x z))) (cbrt (* (/ (+ z x) y) (- x z))))
8.1b
(cbrt (* (/ (+ z x) y) (- x z)))
8.1b
(cbrt (* (/ (+ z x) y) (- x z)))
8.1b
(cbrt (* (/ (+ z x) y) (- x z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-div
55×frac-times
35×associate-*r/
30×flip3-- flip--
20×associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 116
Calls
4 calls:
38.0ms
(* (cbrt (* (/ (+ z x) y) (- x z))) (cbrt (* (/ (+ z x) y) (- x z))))
10.0ms
(cbrt (* (/ (+ z x) y) (- x z)))
11.0ms
(cbrt (* (/ (+ z x) y) (- x z)))
12.0ms
(cbrt (* (/ (+ z x) y) (- x z)))

series831.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (cbrt (* (/ (+ z x) y) (- x z))) (cbrt (* (/ (+ z x) y) (- x z))))
207.0ms
(cbrt (* (/ (+ z x) y) (- x z)))
204.0ms
(cbrt (* (/ (+ z x) y) (- x z)))
206.0ms
(cbrt (* (/ (+ z x) y) (- x z)))

simplify1.4s

Counts
128 → 128
Iterations
IterNodes
done5001
21360
1387
0193

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* x x) y) (/ (* z z) y))
0.0b
(+ y (- (/ (* x x) y) (/ (* z z) y)))
10.2b
(/ (* z z) y)
11.9b
(/ (* x x) y)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
98×prod-diff
97×times-frac
75×add-sqr-sqrt
74×*-un-lft-identity
67×add-cube-cbrt
51×associate-+r+
33×div-inv
14×add-cbrt-cube add-exp-log
11×add-log-exp
7×fma-neg
6×associate-/r*
4×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u difference-of-squares
3×fma-def
2×clear-num sum-log sub-neg frac-2neg diff-log prod-exp cbrt-unprod distribute-lft-out associate-/l* distribute-lft-out--
1×+-commutative associate-+r- flip3-+ flip3-- distribute-rgt-out-- frac-sub flip-+ flip-- sub-div
Counts
4 → 195
Calls
4 calls:
20.0ms
(- (/ (* x x) y) (/ (* z z) y))
50.0ms
(+ y (- (/ (* x x) y) (/ (* z z) y)))
8.0ms
(/ (* z z) y)
15.0ms
(/ (* x x) y)

series208.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (/ (* x x) y) (/ (* z z) y))
66.0ms
(+ y (- (/ (* x x) y) (/ (* z z) y)))
31.0ms
(/ (* z z) y)
27.0ms
(/ (* x x) y)

simplify2.8s

Counts
207 → 207
Iterations
IterNodes
done5000
24521
1729
0266

prune1.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes398.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s13772×body80valid