Details

Time bar (total: 14.1s)

sample57.0ms

Algorithm
intervals
Results
28.0ms267×body80valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
done49
449
347
238
126
015

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ y t) z) x)
3.4b
(* (/ y t) b)
4.0b
(* (/ y t) z)
11.8b
(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
32×times-frac
29×add-cube-cbrt
26×associate-*l*
16×add-cbrt-cube add-exp-log
8×pow1
6×associate-*r* add-log-exp
4×associate-/r* prod-exp cbrt-unprod distribute-lft-out unswap-sqr
3×cbrt-undiv flip3-+ div-exp flip-+ div-inv associate-/l*
2×pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/
1×+-commutative clear-num sum-log frac-2neg
Counts
4 → 110
Calls
4 calls:
15.0ms
(+ (* (/ y t) z) x)
22.0ms
(* (/ y t) b)
21.0ms
(* (/ y t) z)
89.0ms
(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

series770.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* (/ y t) z) x)
32.0ms
(* (/ y t) b)
31.0ms
(* (/ y t) z)
669.0ms
(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

simplify1.2s

Counts
122 → 122
Iterations
IterNodes
done5000
22182
1460
0182

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.6b

localize57.0ms

Local error

Found 4 expressions with local error:

11.8b
(/ (+ (* (* (cbrt (/ y t)) (cbrt (/ y t))) (* z (cbrt (/ y t)))) x) (+ 1.0 (+ a (* (/ y t) b))))
12.0b
(cbrt (/ y t))
12.0b
(cbrt (/ y t))
12.0b
(cbrt (/ y t))

rewrite625.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
39×cbrt-prod times-frac
34×add-sqr-sqrt add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×pow1 associate-/r* div-inv distribute-lft-out add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp
Counts
4 → 101
Calls
4 calls:
616.0ms
(/ (+ (* (* (cbrt (/ y t)) (cbrt (/ y t))) (* z (cbrt (/ y t)))) x) (+ 1.0 (+ a (* (/ y t) b))))
2.0ms
(cbrt (/ y t))
2.0ms
(cbrt (/ y t))
2.0ms
(cbrt (/ y t))

series879.0ms

Counts
4 → 12
Calls
4 calls:
614.0ms
(/ (+ (* (* (cbrt (/ y t)) (cbrt (/ y t))) (* z (cbrt (/ y t)))) x) (+ 1.0 (+ a (* (/ y t) b))))
84.0ms
(cbrt (/ y t))
91.0ms
(cbrt (/ y t))
90.0ms
(cbrt (/ y t))

simplify759.0ms

Counts
113 → 113
Iterations
IterNodes
done5001
21113
1314
0151

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (/ z t)) x)
3.4b
(* (/ y t) b)
3.6b
(* y (/ z t))
11.8b
(/ (+ (* y (/ z t)) x) (+ 1.0 (+ a (* (/ y t) b))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
32×times-frac
29×add-cube-cbrt
16×add-cbrt-cube associate-*r* associate-*l* add-exp-log
8×pow1
6×add-log-exp
4×associate-/r* prod-exp cbrt-unprod distribute-lft-out unswap-sqr
3×cbrt-undiv flip3-+ div-exp flip-+ div-inv associate-/l*
2×pow-prod-down associate-/r/ *-commutative associate-/l/
1×+-commutative clear-num sum-log frac-2neg associate-*l/ associate-*r/
Counts
4 → 110
Calls
4 calls:
14.0ms
(+ (* y (/ z t)) x)
23.0ms
(* (/ y t) b)
20.0ms
(* y (/ z t))
64.0ms
(/ (+ (* y (/ z t)) x) (+ 1.0 (+ a (* (/ y t) b))))

series348.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (* y (/ z t)) x)
43.0ms
(* (/ y t) b)
29.0ms
(* y (/ z t))
219.0ms
(/ (+ (* y (/ z t)) x) (+ 1.0 (+ a (* (/ y t) b))))

simplify1.1s

Counts
122 → 122
Iterations
IterNodes
done5000
22274
1526
0201

prune835.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 11.6b

localize45.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (/ (* (cbrt y) (cbrt y)) 1) (/ (* b (cbrt y)) t))
3.6b
(* y (/ z t))
3.8b
(/ (* b (cbrt y)) t)
11.8b
(/ (+ (* y (/ z t)) x) (+ 1.0 (+ a (* (/ (* (cbrt y) (cbrt y)) 1) (/ (* b (cbrt y)) t)))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
42×add-cbrt-cube
37×add-sqr-sqrt
36×*-un-lft-identity
33×times-frac
29×prod-exp
27×add-cube-cbrt
26×div-exp
20×associate-*r*
18×cbrt-unprod
16×cbrt-undiv
10×associate-*l*
8×pow1
7×associate-/r*
6×1-exp
5×div-inv unswap-sqr
4×distribute-lft-out associate-/l* add-log-exp
2×clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ associate-/r/ *-commutative flip-+ associate-/l/
1×frac-times associate-*l/
Counts
4 → 141
Calls
4 calls:
56.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (/ (* b (cbrt y)) t))
22.0ms
(* y (/ z t))
14.0ms
(/ (* b (cbrt y)) t)
60.0ms
(/ (+ (* y (/ z t)) x) (+ 1.0 (+ a (* (/ (* (cbrt y) (cbrt y)) 1) (/ (* b (cbrt y)) t)))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (/ (* b (cbrt y)) t))
20.0ms
(* y (/ z t))
121.0ms
(/ (* b (cbrt y)) t)
291.0ms
(/ (+ (* y (/ z t)) x) (+ 1.0 (+ a (* (/ (* (cbrt y) (cbrt y)) 1) (/ (* b (cbrt y)) t)))))

simplify494.0ms

Counts
153 → 153
Iterations
IterNodes
done5000
1821
0265

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 11.6b

regimes801.0ms

Accuracy

-5% (3.1b remaining)

Error of 14.7b against oracle of 11.6b and baseline of 14.6b

bsearch203.0ms

Steps
ItersRangePoint
9
3.74937729789408e-213
5.135281788984916e-207
2.1230875330927117e-209
9
-1.7299361400966628e-208
-1.5753026640491414e-215
-4.962196836416018e-210

simplify7.0ms

Iterations
IterNodes
done59
259
158
041

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.0s8311×body80valid