Details

Time bar (total: 20.4s)

sample41.0ms

Algorithm
intervals
Results
21.0ms320×body80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
079
1119
2208
3368
4548
5748
6978
71348
82028
92878
104128
116978
1216938
done50008

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- z x) y x)
8.3b
(/ (fma (- z x) y x) z)

rewrite7.0ms

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:
0.0ms
(fma (- z x) y x)
5.0ms
(/ (fma (- z x) y x) z)

series92.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(fma (- z x) y x)
57.0ms
(/ (fma (- z x) y x) z)

simplify2.4s

Counts
45 → 45
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
066554
1117542
2270492
3835492
43821492
done5000492

prune125.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
0.0b
(+ (/ x z) y)
6.5b
(/ (* x y) z)

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
30×add-sqr-sqrt
28×add-cube-cbrt prod-diff
24×times-frac
13×fma-def
10×distribute-lft-out add-log-exp
8×add-exp-log add-cbrt-cube
6×div-inv
4×fma-neg
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* difference-of-squares
Counts
3 → 103
Calls
3 calls:
247.0ms
(- (+ (/ x z) y) (/ (* x y) z))
18.0ms
(+ (/ x z) y)
10.0ms
(/ (* x y) z)

series109.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (+ (/ x z) y) (/ (* x y) z))
33.0ms
(+ (/ x z) y)
37.0ms
(/ (* x y) z)

simplify2.4s

Counts
112 → 112
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01542085
13901744
213791437
done50001185

prune325.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1 (+ (/ x z) y) (* (/ x z) (- y)))
0.0b
(+ (/ x z) y)
5.1b
(* (/ x z) (- y))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
19×times-frac
13×fma-def associate-*l*
10×associate-*r*
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u
2×prod-exp cbrt-unprod div-inv unswap-sqr
1×cbrt-undiv +-commutative neg-mul-1 flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative distribute-rgt-neg-out flip-+ fma-udef distribute-lft-out
Counts
3 → 79
Calls
3 calls:
1.0ms
(fma 1 (+ (/ x z) y) (* (/ x z) (- y)))
44.0ms
(+ (/ x z) y)
41.0ms
(* (/ x z) (- y))

series169.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(fma 1 (+ (/ x z) y) (* (/ x z) (- y)))
39.0ms
(+ (/ x z) y)
55.0ms
(* (/ x z) (- y))

simplify3.5s

Counts
88 → 88
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0120723
1316664
21015610
33805582
done5001569

prune371.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (/ x z) (- y))
10.3b
(cbrt (* (/ x z) (- y)))
10.3b
(cbrt (* (/ x z) (- y)))
10.3b
(cbrt (* (/ x z) (- y)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac associate-*r*
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod distribute-lft-neg-in cbrt-div distribute-rgt-neg-in pow1/3
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv neg-mul-1 div-exp pow-prod-down *-commutative distribute-rgt-neg-out div-inv
Counts
4 → 78
Calls
4 calls:
40.0ms
(* (/ x z) (- y))
8.0ms
(cbrt (* (/ x z) (- y)))
8.0ms
(cbrt (* (/ x z) (- y)))
10.0ms
(cbrt (* (/ x z) (- y)))

series503.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (/ x z) (- y))
158.0ms
(cbrt (* (/ x z) (- y)))
137.0ms
(cbrt (* (/ x z) (- y)))
151.0ms
(cbrt (* (/ x z) (- y)))

simplify3.2s

Counts
90 → 90
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0123857
1306829
2937749
33154716
done5000692

prune454.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0913
11513
21913
32213
done2213

end0.0ms

sample1.1s

Algorithm
intervals
Results
601.0ms10146×body80valid