Details

Time bar (total: 9.9s)

sample28.0ms

Algorithm
intervals
Results
9.0ms360×body80valid

simplify793.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (68.0ms)

IterNodesCost
099
1169
2329
3719
41489
52208
63078
74038
84578
95558
105718
done5718

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

4.0b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y a) (- t z) x)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(fma (/ y a) (- t z) x)

simplify743.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
024154
141154
294138
3269123
41175123
done5000123

prune40.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y a) (- t z)) x)
6.5b
(* (/ y a) (- t z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
19.0ms
(+ (* (/ y a) (- t z)) x)
34.0ms
(* (/ y a) (- t z))

series123.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (* (/ y a) (- t z)) x)
66.0ms
(* (/ y a) (- t z))

simplify945.0ms

Counts
104 → 104
Iterations

Useful iterations: done (942.0ms)

IterNodesCost
01811645
14591317
212491118
done50001088

prune263.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.1b
(* (/ (cbrt y) a) (- t z))
3.3b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- t z)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
66×add-exp-log
60×*-un-lft-identity
58×add-cube-cbrt
55×distribute-rgt-in distribute-lft-in
54×prod-diff
35×add-cbrt-cube
33×prod-exp
29×associate-*l*
23×times-frac
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv
6×sub-neg flip3-- 1-exp associate-*r* flip--
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 197
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
35.0ms
(* (/ (cbrt y) a) (- t z))
75.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- t z)))

series717.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt y)
206.0ms
(cbrt y)
199.0ms
(* (/ (cbrt y) a) (- t z))
101.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- t z)))

simplify1.8s

Counts
209 → 209
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03264712
18373820
227132727
done50012205

prune417.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.9b
(/ (* (cbrt y) (- t z)) a)
1.1b
(* (sqrt (/ (* (cbrt y) (cbrt y)) 1)) (* (fabs (cbrt y)) (/ (* (cbrt y) (- t z)) a)))
2.4b
(* (fabs (cbrt y)) (/ (* (cbrt y) (- t z)) a))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
29×add-cbrt-cube
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*l* prod-exp cbrt-unprod
11×pow1
9×times-frac
8×associate-*r*
7×sqrt-prod
6×cbrt-undiv associate-*r/ div-exp
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×cbrt-prod associate-/r* div-inv
2×sqrt-div *-commutative associate-/l/
1×frac-times flip3-- frac-2neg pow1/3 associate-*l/ clear-num flip-- associate-/l* unswap-sqr
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt y)
23.0ms
(/ (* (cbrt y) (- t z)) a)
90.0ms
(* (sqrt (/ (* (cbrt y) (cbrt y)) 1)) (* (fabs (cbrt y)) (/ (* (cbrt y) (- t z)) a)))
30.0ms
(* (fabs (cbrt y)) (/ (* (cbrt y) (- t z)) a))

series1.1s

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt y)
219.0ms
(/ (* (cbrt y) (- t z)) a)
354.0ms
(* (sqrt (/ (* (cbrt y) (cbrt y)) 1)) (* (fabs (cbrt y)) (/ (* (cbrt y) (- t z)) a)))
284.0ms
(* (fabs (cbrt y)) (/ (* (cbrt y) (- t z)) a))

simplify1.1s

Counts
113 → 113
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02072015
15301625
219651265
done50011140

prune373.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes162.0ms

Accuracy

75.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.4b

bsearch88.0ms

Steps
ItersRangePoint
9
77.52919887489726
5174162.241174624
13720.539192035285
9
-448759279.4424323
-24.13061144907697
-99560.2674146212

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02438
13138
done3138

end0.0ms

sample726.0ms

Algorithm
intervals
Results
290.0ms10648×body80valid