Details

Time bar (total: 1.5m)

sample252.0ms

Algorithm
intervals
Results
104.0ms256×body80valid
85.0ms275×body80nan

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
55020
41334
3350
2100
150
028

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize88.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.9b
(/ (* z (sqrt (+ t a))) t)

rewrite117.0ms

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 insert-posit16 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 → 105
Calls
4 calls:
28.0ms
(* z (sqrt (+ t a)))
12.0ms
(/ 2.0 (* t 3.0))
51.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.0ms
(/ (* z (sqrt (+ t a))) t)

series502.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* z (sqrt (+ t a)))
32.0ms
(/ 2.0 (* t 3.0))
279.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
111.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.0s

Counts
117 → 117
Iterations
IterNodes
24466
11031
0350

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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
4×insert-posit16
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 → 173
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
64.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
45.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt t)
289.0ms
(cbrt t)
168.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
334.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify4.1s

Counts
185 → 185
Iterations
IterNodes
28957
11854
0491

prune3.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (- b c) (* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t))
3.0b
(* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t)
6.4b
(- (* (sqrt (+ a t)) (* z (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* (- b c) (* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t)))
27.9b
(/ (- (* (sqrt (+ a t)) (* z (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* (- b c) (* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite3.1s

Algorithm
rewrite-expression-head
Rules
3016×associate-*l/
2602×associate-*r/
1824×frac-sub
1622×flip3-- flip--
1592×frac-times
744×sqrt-div
684×flip3-+ flip-+
500×associate-/l/
112×sub-div
25×add-cbrt-cube add-exp-log
13×add-sqr-sqrt
11×pow1 *-un-lft-identity
10×prod-exp cbrt-unprod
9×add-cube-cbrt
8×associate-*l*
6×add-log-exp
4×cbrt-undiv div-exp associate-*r* pow-prod-down insert-posit16
3×times-frac associate-/l*
2×associate-/r/ *-commutative
1×clear-num associate-/r* sub-neg frac-2neg diff-log div-sub div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 1162
Calls
4 calls:
620.0ms
(* (- b c) (* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t))
303.0ms
(* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t)
933.0ms
(- (* (sqrt (+ a t)) (* z (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* (- b c) (* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t)))
1.1s
(/ (- (* (sqrt (+ a t)) (* z (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* (- b c) (* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (- b c) (* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t))
77.0ms
(* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t)
657.0ms
(- (* (sqrt (+ a t)) (* z (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* (- b c) (* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t)))
729.0ms
(/ (- (* (sqrt (+ a t)) (* z (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* (- b c) (* (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* 2.0 (- a (/ 5.0 6.0)))) t))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify12.1s

Counts
1174 → 1174
Iterations
IterNodes
111394
02944

prune51.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes554.0ms

Accuracy

51.3% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 2.6b

bsearch753.0ms

Steps
ItersRangePoint
9
3.745015023339681e-214
6.020995781138026e-205
9.868716990597183e-211
10
-4.2154037715677223e-60
-2.708963436119139e-70
-2.2926071099672017e-62

simplify57.0ms

Iterations
IterNodes
277
177
056

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.7s8000×body80valid
2.6s8177×body80nan