Details

Time bar (total: 12.5s)

sample39.0ms

Algorithm
intervals
Results
17.0ms341×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
079
1119
2208
3368
4618
5908
61138
71508
83548
912378
done50008

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- z x) y x)
8.4b
(/ (fma (- z x) y x) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
1.0ms
(fma (- z x) y x)
11.0ms
(/ (fma (- z x) y x) z)

series150.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(fma (- z x) y x)
87.0ms
(/ (fma (- z x) y x) z)

simplify1.0s

Counts
45 → 45
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
066554
1118542
2280492
31309492
done5000492

prune147.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
7.8b
(/ (* x y) z)

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
28×prod-diff
22×add-sqr-sqrt
20×add-cube-cbrt
15×times-frac
9×distribute-lft-out
7×add-exp-log add-cbrt-cube add-log-exp
5×div-inv
4×fma-neg
3×associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u diff-log div-exp frac-sub log1p-expm1-u distribute-lft-out--
1×sub-neg flip3-- frac-2neg flip3-+ prod-exp associate--l+ clear-num sum-log flip-- cbrt-unprod flip-+ associate-/l* difference-of-squares
Counts
2 → 76
Calls
2 calls:
164.0ms
(- (+ (/ x z) y) (/ (* x y) z))
11.0ms
(/ (* x y) z)

series86.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(- (+ (/ x z) y) (/ (* x y) z))
26.0ms
(/ (* x y) z)

simplify3.0s

Counts
82 → 82
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01501944
14091629
220481315
done50021106

prune178.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ y (/ z x)))
2.9b
(/ y (/ z x))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
342×times-frac
324×*-un-lft-identity
238×add-sqr-sqrt
229×add-cube-cbrt
176×prod-diff
46×distribute-lft-out
21×div-inv
13×associate-/r*
7×add-exp-log add-cbrt-cube add-log-exp
5×associate-/r/
4×fma-neg
3×cbrt-undiv div-exp associate-/l* difference-of-squares
2×pow1 expm1-log1p-u diff-log frac-sub log1p-expm1-u distribute-lft-out--
1×sub-neg flip3-- frac-2neg flip3-+ associate--l+ clear-num sum-log flip-- flip-+
Counts
2 → 275
Calls
2 calls:
226.0ms
(- (+ (/ x z) y) (/ y (/ z x)))
16.0ms
(/ y (/ z x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (+ (/ x z) y) (/ y (/ z x)))
30.0ms
(/ y (/ z x))

simplify803.0ms

Counts
281 → 281
Iterations

Useful iterations: done (786.0ms)

IterNodesCost
051212391
1144111566
done50019114

prune682.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (/ x z) y))
0.6b
(cbrt (+ (/ x z) y))
0.6b
(cbrt (+ (/ x z) y))
2.7b
(* (/ x z) y)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×add-sqr-sqrt
15×add-cube-cbrt
13×associate-*l*
12×cbrt-prod
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1 cbrt-div
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 associate-*r* flip-+ distribute-lft-out
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
11.0ms
(cbrt (+ (/ x z) y))
12.0ms
(cbrt (+ (/ x z) y))
20.0ms
(cbrt (+ (/ x z) y))
24.0ms
(* (/ x z) y)

series563.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (+ (/ x z) y))
191.0ms
(cbrt (+ (/ x z) y))
165.0ms
(cbrt (+ (/ x z) y))
29.0ms
(* (/ x z) y)

simplify825.0ms

Counts
94 → 94
Iterations

Useful iterations: done (822.0ms)

IterNodesCost
0112897
1254858
21066793
done5001769

prune376.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1911
done911

end0.0ms

sample928.0ms

Algorithm
intervals
Results
411.0ms10109×body80valid