Details

Time bar (total: 10.5s)

sample18.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (36.0ms)

IterNodesCost
067
1167
2237
3367
4437
5497
6537
7636
8666
done666

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

5.2b
(fma (/ x z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ x z) y x)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma (/ x z) y x)

simplify2.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
018110
124107
24995
313095
443695
5170395
done500095

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
7.0b
(/ (* x y) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt times-frac
add-log-exp
associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l*
Counts
2 → 44
Calls
2 calls:
8.0ms
(+ (/ (* x y) z) x)
4.0ms
(/ (* x y) z)

series63.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (/ (* x y) z) x)
29.0ms
(/ (* x y) z)

simplify1.6s

Counts
50 → 50
Iterations

Useful iterations: 3 (568.0ms)

IterNodesCost
071387
1176364
2545332
32513312
done5001312

prune124.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x (/ z y)) x)
4.6b
(/ x (/ z y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
81×*-un-lft-identity
79×add-sqr-sqrt add-cube-cbrt
44×fma-def
13×associate-/r*
div-inv
add-exp-log add-cbrt-cube
add-log-exp
cbrt-undiv div-exp associate-/l*
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u
+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ distribute-lft-out
Counts
2 → 130
Calls
2 calls:
36.0ms
(+ (/ x (/ z y)) x)
5.0ms
(/ x (/ z y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (/ x (/ z y)) x)
26.0ms
(/ x (/ z y))

simplify2.4s

Counts
136 → 136
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01741081
1389996
21142940
34365934
done5000934

prune387.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1 (* x (/ y z))) x)
4.8b
(* x (/ y z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out
Counts
2 → 49
Calls
2 calls:
10.0ms
(+ (* 1 (* x (/ y z))) x)
7.0ms
(* x (/ y z))

series61.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* 1 (* x (/ y z))) x)
29.0ms
(* x (/ y z))

simplify2.4s

Counts
55 → 55
Iterations

Useful iterations: 3 (685.0ms)

IterNodesCost
097518
1252425
2701395
32669392
done5001392

prune122.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

36.9% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.0b

bsearch85.0ms

Steps
ItersRangePoint
9
1.6769806055412083e-25
1.1101557034144592e-16
1.805104243011444e-23
10
-9.705806043300052e-114
-1.51016986433691e-123
-9.60271089090637e-114

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02133
13031
done3031

end0.0ms

sample611.0ms

Algorithm
intervals
Results
417.0ms9616×body80valid