Details

Time bar (total: 19.9s)

sample349.0ms

Algorithm
intervals
Results
20.0ms261×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5026
123812
111306
10538
9373
8319
7285
6269
5223
4188
3122
263
125
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
22.1b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×swap-sqr add-cube-cbrt distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
2×insert-posit16 add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 72
Calls
2 calls:
47.0ms
(* (+ t1 u) (+ t1 u))
50.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (+ t1 u) (+ t1 u))
113.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.6s

Counts
78 → 78
Iterations
IterNodes
done5032
21948
1419
0114

prune318.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.4b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-cbrt-cube add-exp-log
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×insert-posit16 add-log-exp
2×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 195
Calls
3 calls:
26.0ms
(/ (- t1) (+ t1 u))
20.0ms
(/ v (+ t1 u))
128.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series272.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(/ (- t1) (+ t1 u))
34.0ms
(/ v (+ t1 u))
174.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.8s

Counts
204 → 204
Iterations
IterNodes
done5004
22396
1647
0216

prune869.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u))))
6.4b
(cbrt (/ (- t1) (+ t1 u)))
6.4b
(cbrt (/ (- t1) (+ t1 u)))
6.4b
(cbrt (/ (- t1) (+ t1 u)))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
138×cbrt-prod
133×*-un-lft-identity
120×times-frac
73×add-sqr-sqrt add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
30×distribute-lft-out
27×cbrt-div
25×add-exp-log
17×frac-times
16×pow1
15×add-cbrt-cube
13×prod-exp cbrt-unprod
12×neg-mul-1
11×associate-*l/ associate-*r/
8×pow-prod-down
6×associate-/r/
4×insert-posit16 add-log-exp
3×flip3-+ pow1/3 flip-+ div-inv
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 210
Calls
4 calls:
223.0ms
(* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u))))
15.0ms
(cbrt (/ (- t1) (+ t1 u)))
16.0ms
(cbrt (/ (- t1) (+ t1 u)))
20.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.2s

Counts
4 → 12
Calls
4 calls:
323.0ms
(* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) (/ v (+ t1 u))))
321.0ms
(cbrt (/ (- t1) (+ t1 u)))
264.0ms
(cbrt (/ (- t1) (+ t1 u)))
257.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify3.6s

Counts
222 → 222
Iterations
IterNodes
done5017
34309
21347
1516
0228

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ (+ t1 u) v)
0.7b
(/ 1 (/ (+ t1 u) v))
1.4b
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
289×times-frac
248×*-un-lft-identity
185×add-sqr-sqrt
152×add-cube-cbrt
64×add-exp-log
53×associate-*r*
46×associate-*l* distribute-lft-out
34×add-cbrt-cube
30×div-exp
27×distribute-lft-neg-in distribute-rgt-neg-in
23×associate-/r*
17×associate-/l*
14×cbrt-undiv prod-exp
12×div-inv
10×unswap-sqr
9×neg-mul-1
7×pow1
6×rec-exp 1-exp associate-/r/ cbrt-unprod
4×insert-posit16 add-log-exp
3×clear-num frac-2neg flip3-+ flip-+
2×distribute-frac-neg associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 338
Calls
4 calls:
28.0ms
(/ (- t1) (+ t1 u))
34.0ms
(/ (+ t1 u) v)
16.0ms
(/ 1 (/ (+ t1 u) v))
155.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (- t1) (+ t1 u))
43.0ms
(/ (+ t1 u) v)
92.0ms
(/ 1 (/ (+ t1 u) v))
193.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify2.3s

Counts
350 → 350
Iterations
IterNodes
done5009
24234
11148
0364

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes234.0ms

Accuracy

71% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.5b

bsearch80.0ms

Steps
ItersRangePoint
8
8.704922739581279e-72
1.8221040414680487e-68
1.80210471963447e-68
10
-8.161796476332134e-39
-1.5822571461885421e-53
-3.377507021608042e-46

simplify9.0ms

Iterations
IterNodes
done37
437
334
230
126
017

end0.0ms

sample844.0ms

Algorithm
intervals
Results
623.0ms8270×body80valid