Details

Time bar (total: 13.5s)

sample27.0ms

Algorithm
intervals
Results
11.0ms348×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09165
115165
226165
346165
489165
5148165
6206165
7284165
8449165
9873165
102661165
done5000165

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.3b
(/ (* y (- z t)) a)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
17.0ms
(+ x (/ (* y (- z t)) a))
26.0ms
(* y (- z t))
14.0ms
(/ (* y (- z t)) a)

series191.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ x (/ (* y (- z t)) a))
57.0ms
(* y (- z t))
73.0ms
(/ (* y (- z t)) a)

simplify1.2s

Counts
70 → 70
Iterations

Useful iterations: done (1.2s)

IterNodesCost
011613763
131612527
2118112447
done500011727

prune396.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.3b
(/ y (/ a (- z t)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
56.0ms
(+ x (/ y (/ a (- z t))))
15.0ms
(/ a (- z t))
29.0ms
(/ y (/ a (- z t)))

series211.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(+ x (/ y (/ a (- z t))))
47.0ms
(/ a (- z t))
83.0ms
(/ y (/ a (- z t)))

simplify1.7s

Counts
160 → 160
Iterations

Useful iterations: done (1.7s)

IterNodesCost
024552131
162947785
2290246567
done500246404

prune983.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
0.6b
(/ y (* (/ (cbrt a) (cbrt (- z t))) (/ (cbrt a) (cbrt (- z t)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
4×pow1 prod-exp cbrt-unprod add-log-exp
3×times-frac pow1/3 associate-/r/ associate-/l*
1×frac-times clear-num associate-/r* frac-2neg associate-*l/ associate-*r/ div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
41.0ms
(/ y (* (/ (cbrt a) (cbrt (- z t))) (/ (cbrt a) (cbrt (- z t)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt a)
288.0ms
(cbrt a)
250.0ms
(cbrt a)
265.0ms
(/ y (* (/ (cbrt a) (cbrt (- z t))) (/ (cbrt a) (cbrt (- z t)))))

simplify1.4s

Counts
75 → 75
Iterations

Useful iterations: done (1.3s)

IterNodesCost
011722710
129520613
298520213
done500019451

prune598.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
7.3b
(* (/ y a) (- z t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×distribute-rgt-in pow1 associate-+r+ sub-neg distribute-lft-in add-log-exp
2×frac-times flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
11.0ms
(+ x (* (/ y a) (- z t)))
44.0ms
(* (/ y a) (- z t))

series174.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(+ x (* (/ y a) (- z t)))
83.0ms
(* (/ y a) (- z t))

simplify1.2s

Counts
63 → 63
Iterations

Useful iterations: 2 (341.0ms)

IterNodesCost
012314637
133013412
2141713131
done500013131

prune352.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes578.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
013405
114405
done14405

end0.0ms

sample1.2s

Algorithm
intervals
Results
581.0ms10689×body80valid