Details

Time bar (total: 8.3s)

sample43.0ms

Algorithm
intervals
Results
18.0ms277×body80valid
0.0msbody640valid

simplify46.0ms

Counts
1 → 1

prune3.0ms

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)
10.6b
(/ (* (- y z) t) (- a z))

rewrite98.0ms

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:
21.0ms
(+ x (/ (* (- y z) t) (- a z)))
36.0ms
(* (- y z) t)
39.0ms
(/ (* (- y z) t) (- a z))

series232.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(+ x (/ (* (- y z) t) (- a z)))
36.0ms
(* (- y z) t)
84.0ms
(/ (* (- y z) t) (- a z))

simplify47.0ms

Counts
72 → 72

prune225.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.8b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
32×cbrt-prod
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
20×cbrt-div
18×add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
prod-exp cbrt-unprod
cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
pow1 unswap-sqr
frac-times
add-log-exp
pow1/3 associate-*r/ associate-*l/
div-inv
pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
5.0ms
(cbrt (- a z))
7.0ms
(cbrt (- a z))
7.0ms
(cbrt (- a z))
162.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series662.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt (- a z))
180.0ms
(cbrt (- a z))
180.0ms
(cbrt (- a z))
129.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify70.0ms

Counts
134 → 134

prune658.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.8b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt 1)))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
34×add-sqr-sqrt
22×cbrt-prod *-un-lft-identity add-cbrt-cube
21×times-frac
18×cbrt-div
17×associate-*l*
15×prod-exp cbrt-unprod
12×cbrt-undiv add-cube-cbrt div-exp
10×associate-*r*
flip3-- flip--
associate-/r/ unswap-sqr
pow1
frac-times
distribute-lft-out-- add-log-exp difference-of-squares
pow1/3 associate-*r/ associate-*l/
div-inv
pow-prod-down *-commutative
Counts
4 → 110
Calls
4 calls:
4.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
147.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt 1)))

series950.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt (- a z))
212.0ms
(cbrt (- a z))
197.0ms
(cbrt (- a z))
323.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt 1)))

simplify75.0ms

Counts
122 → 122

prune709.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))
0.6b
(cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))
0.6b
(cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))
0.7b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1))) (cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
25×add-exp-log
24×times-frac
23×cbrt-div
19×add-sqr-sqrt
17×*-un-lft-identity associate-*l*
15×add-cube-cbrt add-cbrt-cube
11×prod-exp cbrt-unprod
pow1 frac-times
associate-/r/
associate-*r/
flip3-- flip--
associate-*l/
cbrt-undiv div-exp div-inv add-log-exp
pow1/3 pow-prod-down
unswap-sqr
associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 106
Calls
4 calls:
10.0ms
(cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))
10.0ms
(cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))
10.0ms
(cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))
186.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1))) (cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))
355.0ms
(cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))
322.0ms
(cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))
488.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1))) (cbrt (/ (* (cbrt t) (cbrt t)) (cbrt 1)))))

simplify56.0ms

Counts
118 → 118

prune827.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes290.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify49.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
466.0ms8698×body80valid
0.0msbody640valid
0.0msbody160valid