Details

Time bar (total: 15.7s)

sample57.0ms

Algorithm
intervals
Results
22.0ms351×body80valid

simplify98.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.1b
(/ (- (* x y) (* z t)) a)

rewrite51.0ms

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 add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
23.0ms
(- (* x y) (* z t))
24.0ms
(/ (- (* x y) (* z t)) a)

series138.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(- (* x y) (* z t))
75.0ms
(/ (- (* x y) (* z t)) a)

simplify2.6s

Counts
54 → 54
Iterations

Useful iterations: done (2.6s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune173.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x (- y) (* t z))
6.1b
(/ (fma x (- y) (* t z)) (- a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×add-exp-log neg-mul-1 add-cbrt-cube
3×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 → 67
Calls
2 calls:
1.0ms
(fma x (- y) (* t z))
8.0ms
(/ (fma x (- y) (* t z)) (- a))

series137.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(fma x (- y) (* t z))
84.0ms
(/ (fma x (- y) (* t z)) (- a))

simplify3.1s

Counts
73 → 73
Iterations

Useful iterations: 3 (361.0ms)

IterNodesCost
01111181
11891152
24231100
311471099
444461099
done50001099

prune351.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x (- y) (* t z))
6.2b
(* (fma x (- y) (* t z)) (/ 1 (- a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r*
32×times-frac
30×add-sqr-sqrt
24×*-un-lft-identity
23×add-cube-cbrt
11×add-exp-log
9×distribute-lft-neg-in distribute-rgt-neg-in
7×add-cbrt-cube
4×pow1 prod-exp
3×neg-mul-1 associate-*l* unswap-sqr
2×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv
Counts
2 → 69
Calls
2 calls:
0.0ms
(fma x (- y) (* t z))
24.0ms
(* (fma x (- y) (* t z)) (/ 1 (- a)))

series203.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(fma x (- y) (* t z))
119.0ms
(* (fma x (- y) (* t z)) (/ 1 (- a)))

simplify2.0s

Counts
75 → 75
Iterations

Useful iterations: 2 (167.0ms)

IterNodesCost
01341054
1305875
2732777
32546777
done5000777

prune356.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x (- y) (* t z))
0.5b
(/ 1 (- (/ a (fma x (- y) (* t z)))))
6.2b
(/ a (fma x (- y) (* t z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
102×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/r*
10×div-inv
9×add-exp-log
7×add-cbrt-cube
6×associate-/l*
4×pow1 neg-mul-1
3×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg clear-num
1×rec-exp pow-flip 1-exp associate-/r/ fma-udef distribute-neg-frac inv-pow
Counts
3 → 181
Calls
3 calls:
0.0ms
(fma x (- y) (* t z))
24.0ms
(/ 1 (- (/ a (fma x (- y) (* t z)))))
11.0ms
(/ a (fma x (- y) (* t z)))

series307.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(fma x (- y) (* t z))
131.0ms
(/ 1 (- (/ a (fma x (- y) (* t z)))))
91.0ms
(/ a (fma x (- y) (* t z)))

simplify2.7s

Counts
190 → 190
Iterations

Useful iterations: 3 (900.0ms)

IterNodesCost
02733834
14873432
28823235
322503081
done50003081

prune538.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.2b

regimes672.0ms

Accuracy

0% (0.3b remaining)

Error of 7.5b against oracle of 7.2b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11110
done1110

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s11101×body80valid