Details

Time bar (total: 34.5s)

sample139.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
37.0ms292×body80nan

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
028721
150721
2100721
3350721
41302721
done5001721

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize104.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
4.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.3b
(/ (* z (sqrt (+ t a))) t)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv associate-/r* sqrt-div div-exp associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg associate-*l/ associate--l+ div-inv unswap-sqr associate-/l/
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
37.0ms
(* z (sqrt (+ t a)))
12.0ms
(/ 2.0 (* t 3.0))
38.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.0ms
(/ (* z (sqrt (+ t a))) t)

series498.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* z (sqrt (+ t a)))
18.0ms
(/ 2.0 (* t 3.0))
304.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
100.0ms
(/ (* z (sqrt (+ t a))) t)

simplify3.8s

Counts
113 → 113
Iterations

Useful iterations: done (3.7s)

IterNodesCost
034650396
1104142923
2434942323
done510642243

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
3.2b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
4.3b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×flip3-- add-exp-log flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
82.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
83.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt t)
257.0ms
(cbrt t)
156.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
660.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify3.0s

Counts
181 → 181
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0488138020
11857120579
done5002119728

prune2.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize135.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
4.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
7.3b
(/ (* z (sqrt (+ t a))) t)
40.4b
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
92×frac-sub
67×frac-times
49×cbrt-div
39×associate-*r/
37×associate-*l/
22×flip3-+ flip-+
21×flip3-- flip--
14×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×times-frac associate--r+ add-log-exp
4×pow1 cbrt-undiv associate-/r* div-exp associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in
2×clear-num frac-2neg sqrt-div prod-exp associate--l+ cbrt-unprod div-inv associate-/l/
1×cbrt-prod pow1/3 diff-log pow3 rem-cbrt-cube
Counts
4 → 129
Calls
4 calls:
6.0ms
(/ 2.0 (* t 3.0))
93.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
16.0ms
(/ (* z (sqrt (+ t a))) t)
149.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

series669.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 2.0 (* t 3.0))
445.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
120.0ms
(/ (* z (sqrt (+ t a))) t)
84.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

simplify3.3s

Counts
141 → 141
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0509130119
11405113148
done5001112708

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize109.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
2.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3))))
7.3b
(/ (* z (sqrt (+ t a))) t)
40.4b
(pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3)

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
186×add-exp-log
87×prod-exp
60×div-exp
31×pow-exp
24×pow1
14×add-cbrt-cube
12×pow-pow
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×frac-sub
7×flip3-- flip--
6×times-frac pow-plus pow-prod-up associate--r+ add-log-exp
4×frac-times cbrt-undiv associate-/r* associate-*r/ associate-/l*
3×distribute-rgt-in pow-unpow sub-neg distribute-lft-in pow-prod-down
2×pow2 clear-num frac-2neg sqrt-div associate-*l/ associate--l+ pow-sqr cbrt-unprod div-inv associate-/l/
1×pow-to-exp unpow-prod-down flip3-+ unpow1/3 diff-log pow3 flip-+ sqr-pow
Counts
4 → 127
Calls
4 calls:
12.0ms
(/ 2.0 (* t 3.0))
82.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3))))
24.0ms
(/ (* z (sqrt (+ t a))) t)
124.0ms
(pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 2.0 (* t 3.0))
599.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3))))
127.0ms
(/ (* z (sqrt (+ t a))) t)
365.0ms
(pow (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))) 1/3)

simplify4.1s

Counts
139 → 139
Iterations

Useful iterations: done (4.0s)

IterNodesCost
037366347
1100248028
2388245821
done500138315

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes1.0s

Accuracy

-0.3% (2.6b remaining)

Error of 2.9b against oracle of 0.3b and baseline of 2.9b

bsearch555.0ms

Steps
ItersRangePoint
9
9.000810156668241e-173
4.2599798917624356e-167
2.2660342787357303e-170
7
5.819645775425448e-281
1.0725847533569704e-278
9.265329209545527e-280

simplify91.0ms

Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
0571973
1791973
done791973

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.3s8000×body80valid
1.4s7918×body80nan