Details

Time bar (total: 5.7s)

sample40.0ms

Algorithm
intervals
Results
15.0ms333×body80valid

simplify30.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
8.1b
(/ (* y (- z t)) a)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
21.0ms
(* y (- z t))
19.0ms
(/ (* y (- z t)) a)

series130.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* y (- z t))
77.0ms
(/ (* y (- z t)) a)

simplify81.0ms

Counts
55 → 55

prune120.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
6.4b
(/ y (/ a (- z t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
11.0ms
(/ a (- z t))
24.0ms
(/ y (/ a (- z t)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ a (- z t))
71.0ms
(/ y (/ a (- z t)))

simplify45.0ms

Counts
145 → 145

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

6.0b
(* (/ y a) (- z t))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-exp-log add-cbrt-cube
associate-*r*
pow1
distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
47.0ms
(* (/ y a) (- z t))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* (/ y a) (- z t))

simplify70.0ms

Counts
45 → 45

prune141.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.5b
(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.6b
(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
associate-*r* pow-prod-down
cbrt-undiv div-exp add-log-exp
distribute-lft-out-- difference-of-squares
pow1/3 *-commutative unswap-sqr
div-inv
Counts
4 → 164
Calls
4 calls:
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))
232.0ms
(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
78.0ms
(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

series629.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (- z t))
220.0ms
(cbrt (- z t))
86.0ms
(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
139.0ms
(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

simplify63.0ms

Counts
176 → 176

prune618.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes295.0ms

Accuracy

-118% (5.4b remaining)

Error of 5.4b against oracle of 0.0b and baseline of 2.5b

bsearch111.0ms

Steps
ItersRangePoint
9
2.27234986379416e-63
5.0697219011720065e-57
8.192485547752354e-59
6
-1.7521345154609529e+30
-1.392800394734085e+29
-1.7842927315890493e+29

simplify457.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
545.0ms10599×body80valid