Details

Time bar (total: 11.8s)

sample41.0ms

Algorithm
intervals
Results
16.0ms287×body80valid

simplify795.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11711
23511
36011
49611
514011
616311
718011
820211
924711
1032711
1136511
1239911
1340511
1440711
done40711

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
10.3b
(/ (* (- y z) t) (- a z))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 times-frac associate-*l* associate-/r* add-log-exp
associate-*l/
flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
32.0ms
(+ x (/ (* (- y z) t) (- a z)))
22.0ms
(* (- y z) t)
24.0ms
(/ (* (- y z) t) (- a z))

series230.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(+ x (/ (* (- y z) t) (- a z)))
36.0ms
(* (- y z) t)
95.0ms
(/ (* (- y z) t) (- a z))

simplify1.1s

Counts
72 → 72
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
0124812
1325763
21263685
done5001685

prune217.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (- y z) (/ (- a z) t)))
0.0b
(/ (- a z) t)
11.2b
(/ (- y z) (/ (- a z) t))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
173×*-un-lft-identity
171×add-sqr-sqrt
87×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
div-inv
add-log-exp
cbrt-undiv div-exp associate-/l/
pow1 div-sub
flip3-- frac-2neg clear-num flip--
+-commutative associate-+r- flip3-+ sum-log associate-/r/ flip-+ distribute-lft-out
Counts
3 → 188
Calls
3 calls:
88.0ms
(+ x (/ (- y z) (/ (- a z) t)))
16.0ms
(/ (- a z) t)
32.0ms
(/ (- y z) (/ (- a z) t))

series311.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(+ x (/ (- y z) (/ (- a z) t)))
44.0ms
(/ (- a z) t)
131.0ms
(/ (- y z) (/ (- a z) t))

simplify1.5s

Counts
197 → 197
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02733386
17593165
224793059
done50023057

prune623.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* 1 (* (/ (- y z) (- a z)) t)))
0.0b
(/ (- y z) (- a z))
1.8b
(* (/ (- y z) (- a z)) t)

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
72×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l* add-log-exp
associate-/r/
flip3-- associate-*r* flip--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+ distribute-lft-out
Counts
3 → 114
Calls
3 calls:
12.0ms
(+ x (* 1 (* (/ (- y z) (- a z)) t)))
45.0ms
(/ (- y z) (- a z))
90.0ms
(* (/ (- y z) (- a z)) t)

series331.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(+ x (* 1 (* (/ (- y z) (- a z)) t)))
64.0ms
(/ (- y z) (- a z))
138.0ms
(* (/ (- y z) (- a z)) t)

simplify2.7s

Counts
123 → 123
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
01711586
14451487
212251399
340021399
done50001399

prune371.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
0.0b
(/ t (- a z))
10.7b
(* (- y z) (/ t (- a z)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-*l* associate-/r* add-log-exp
flip3-- associate-/r/ flip--
associate-/l*
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
7.0ms
(+ x (* (- y z) (/ t (- a z))))
11.0ms
(/ t (- a z))
51.0ms
(* (- y z) (/ t (- a z)))

series253.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(+ x (* (- y z) (/ t (- a z))))
44.0ms
(/ t (- a z))
101.0ms
(* (- y z) (/ t (- a z)))

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
01541213
13621138
213251060
done50011060

prune323.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
11929
done1929

end0.0ms

sample1.0s

Algorithm
intervals
Results
445.0ms8788×body80valid
0.0msbody1280valid
0.0msbody320valid
0.0msbody160valid