Details

Time bar (total: 13.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms264×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.8b
(/ x (- y (* z t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
fma-neg prod-diff associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
2.0ms
(- y (* z t))
5.0ms
(/ x (- y (* z t)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- y (* z t))
33.0ms
(/ x (- y (* z t)))

simplify2.4s

Counts
57 → 57
Iterations

Useful iterations: 4 (980.0ms)

IterNodesCost
087595
1180580
2431529
31044525
42641506
done5000506

prune131.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.7b

localize7.0ms

Local error

Found 1 expressions with local error:

3.8b
(/ (- x) (fma z t (- y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
neg-mul-1
add-exp-log associate-/r* add-cbrt-cube
pow1 cbrt-undiv neg-sub0 expm1-log1p-u frac-2neg div-sub distribute-frac-neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
4.0ms
(/ (- x) (fma z t (- y)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (- x) (fma z t (- y)))

simplify2.7s

Counts
62 → 62
Iterations

Useful iterations: 4 (829.0ms)

IterNodesCost
0102892
1182856
2417826
31031826
42421825
done5001825

prune155.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (fma z t (- y)))
3.4b
(* (- x) (/ 1 (fma z t (- y))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
15×add-exp-log
13×associate-*r*
10×associate-*l*
add-cbrt-cube
pow1
div-exp prod-exp
distribute-lft-neg-in distribute-rgt-neg-in associate-/r* associate-/l* unswap-sqr
cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
distribute-lft-neg-out neg-mul-1 pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 79
Calls
2 calls:
2.0ms
(/ 1 (fma z t (- y)))
11.0ms
(* (- x) (/ 1 (fma z t (- y))))

series61.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1 (fma z t (- y)))
35.0ms
(* (- x) (/ 1 (fma z t (- y))))

simplify4.1s

Counts
85 → 85
Iterations

Useful iterations: done (4.1s)

IterNodesCost
0102992
1250874
2692744
31810744
done5000743

prune173.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ -1 (/ (fma z t (- y)) x))
3.8b
(/ (fma z t (- y)) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
add-exp-log add-cbrt-cube
div-inv associate-/l*
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/r/
Counts
2 → 101
Calls
2 calls:
5.0ms
(/ -1 (/ (fma z t (- y)) x))
3.0ms
(/ (fma z t (- y)) x)

series110.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ -1 (/ (fma z t (- y)) x))
56.0ms
(/ (fma z t (- y)) x)

simplify2.5s

Counts
107 → 107
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01691730
13491645
29961531
337731520
done50001518

prune294.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.7b

regimes176.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.7b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
1108
done108

end0.0ms

sample408.0ms

Algorithm
intervals
Results
201.0ms8374×body80valid