Details

Time bar (total: 19.5s)

sample35.0ms

Algorithm
intervals
Results
11.0ms266×body80valid
1.0ms12×body320valid
1.0ms7×body1280valid
1.0ms8×body640valid
1.0ms13×body160valid

simplify1.0s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
3.5b
(+ x (/ (* (- y x) (- z t)) (- a t)))
18.1b
(/ (* (- y x) (- z t)) (- a t))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
41.0ms
(* (- y x) (- z t))
26.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
31.0ms
(/ (* (- y x) (- z t)) (- a t))

series437.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* (- y x) (- z t))
217.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
166.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify894.0ms

Counts
90 → 90

prune310.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.3b
(/ (- y x) (/ (- a t) (- z t)))
3.5b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
41.0ms
(/ (- a t) (- z t))
60.0ms
(/ (- y x) (/ (- a t) (- z t)))
103.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series534.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ (- a t) (- z t))
257.0ms
(/ (- y x) (/ (- a t) (- z t)))
205.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify1.5s

Counts
283 → 283

prune847.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
0.7b
(/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))
8.4b
(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

rewrite395.0ms

Algorithm
rewrite-expression-head
Rules
728×times-frac
603×add-sqr-sqrt *-un-lft-identity
470×cbrt-prod
271×add-cube-cbrt
166×distribute-lft-out-- difference-of-squares
46×associate-/r*
19×associate-/r/
12×flip3-- flip--
10×div-inv
9×add-exp-log
8×associate-/l*
6×cbrt-div add-cbrt-cube add-log-exp
4×pow1
3×cbrt-undiv div-exp
2×pow1/3 associate-/l/
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+
Counts
4 → 480
Calls
4 calls:
5.0ms
(cbrt (- a t))
7.0ms
(cbrt (- a t))
70.0ms
(/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))
7.0ms
(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (- a t))
189.0ms
(cbrt (- a t))
198.0ms
(/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))
209.0ms
(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

simplify775.0ms

Counts
492 → 492

prune2.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
0.6b
(* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (/ (cbrt (cbrt (- y x))) (/ (cbrt (- a t)) (- z t))))
8.2b
(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (/ (cbrt (cbrt (- y x))) (/ (cbrt (- a t)) (- z t))))))

rewrite438.0ms

Algorithm
rewrite-expression-head
Rules
976×times-frac
918×cbrt-prod
797×add-sqr-sqrt
737×*-un-lft-identity
511×associate-*r*
355×add-cube-cbrt
191×distribute-lft-out-- difference-of-squares
44×cbrt-div
25×flip3-- flip--
23×associate-/r/
20×unswap-sqr
16×frac-times
13×add-exp-log
12×associate-*l/ div-inv
7×add-cbrt-cube
6×pow1 add-log-exp
5×associate-*r/
4×associate-*l*
3×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1/3
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 608
Calls
4 calls:
7.0ms
(cbrt (- a t))
8.0ms
(cbrt (- a t))
334.0ms
(* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (/ (cbrt (cbrt (- y x))) (/ (cbrt (- a t)) (- z t))))
8.0ms
(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (/ (cbrt (cbrt (- y x))) (/ (cbrt (- a t)) (- z t))))))

series937.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (- a t))
220.0ms
(cbrt (- a t))
255.0ms
(* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (/ (cbrt (cbrt (- y x))) (/ (cbrt (- a t)) (- z t))))
250.0ms
(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (/ (cbrt (cbrt (- y x))) (/ (cbrt (- a t)) (- z t))))))

simplify1.2s

Counts
620 → 620

prune3.7s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.1b

regimes476.0ms

Accuracy

46.5% (4.3b remaining)

Error of 8.6b against oracle of 4.3b and baseline of 12.3b

bsearch3.0ms

simplify1.1s

end0.0ms

sample1.5s

Algorithm
intervals
Results
546.0ms7789×body80valid
150.0ms476×body640valid
96.0ms414×body320valid
59.0ms252×body1280valid
29.0ms299×body160valid
4.0ms14×body2560valid