Details

Time bar (total: 4.6s)

sample42.0ms

Algorithm
intervals
Results
16.0ms331×body80valid

simplify154.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
8.5b
(/ (* (- y x) z) t)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
16.0ms
(+ x (/ (* (- y x) z) t))
35.0ms
(* (- y x) z)
26.0ms
(/ (* (- y x) z) t)

series135.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ x (/ (* (- y x) z) t))
31.0ms
(* (- y x) z)
61.0ms
(/ (* (- y x) z) t)

simplify31.0ms

Counts
66 → 66

prune199.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.1b
(* (- y x) (/ z t))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
14.0ms
(+ x (* (- y x) (/ z t)))
59.0ms
(* (- y x) (/ z t))

series102.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ x (* (- y x) (/ z t)))
59.0ms
(* (- y x) (/ z t))

simplify32.0ms

Counts
55 → 55

prune123.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)
1.2b
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
11×*-un-lft-identity
9×cbrt-prod add-cube-cbrt prod-exp cbrt-unprod
6×pow1
5×associate-*r* associate-*l*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3
2×frac-times flip3-- times-frac associate-*l/ flip-- unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
90.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series877.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt z)
249.0ms
(cbrt z)
209.0ms
(cbrt z)
151.0ms
(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify47.0ms

Counts
81 → 81

prune331.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.4b
(/ (- y x) (/ t z))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
51.0ms
(+ x (/ (- y x) (/ t z)))
23.0ms
(/ (- y x) (/ t z))

series136.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ x (/ (- y x) (/ t z)))
77.0ms
(/ (- y x) (/ t z))

simplify55.0ms

Counts
120 → 120

prune321.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

-636% (6.6b remaining)

Error of 6.6b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify106.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
768.0ms10727×body80valid