Details

Time bar (total: 16.4s)

sample41.0ms

Algorithm
intervals
Results
16.0ms333×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
089
1149
2259
3488
4998
51728
62528
74258
810788
935538
done50008

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

1.8b
(fma (/ y t) (- z x) 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:
1.0ms
(fma (/ y t) (- z x) x)

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(fma (/ y t) (- z x) x)

simplify1.3s

Counts
13 → 13
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
023154
140154
293138
3276123
41619123
done5001123

prune45.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z x) t)
0.0b
(+ (* y (/ (- z x) t)) x)
5.0b
(* y (/ (- z x) t))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 94
Calls
3 calls:
18.0ms
(/ (- z x) t)
21.0ms
(+ (* y (/ (- z x) t)) x)
47.0ms
(* y (/ (- z x) t))

series182.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- z x) t)
56.0ms
(+ (* y (/ (- z x) t)) x)
86.0ms
(* y (/ (- z x) t))

simplify1.0s

Counts
103 → 103
Iterations

Useful iterations: done (1000.0ms)

IterNodesCost
01431099
13751026
21592960
done5001951

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (* (- z x) (/ 1 t))) x)
0.3b
(* (- z x) (/ 1 t))
5.0b
(* y (* (- z x) (/ 1 t)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
21×add-sqr-sqrt
17×add-cbrt-cube
15×*-un-lft-identity
14×associate-*r*
13×prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
5×add-log-exp
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×expm1-log1p-u log1p-expm1-u unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative
1×+-commutative fma-def flip3-+ sum-log flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
46.0ms
(+ (* y (* (- z x) (/ 1 t))) x)
36.0ms
(* (- z x) (/ 1 t))
65.0ms
(* y (* (- z x) (/ 1 t)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ (* y (* (- z x) (/ 1 t))) x)
43.0ms
(* (- z x) (/ 1 t))
79.0ms
(* y (* (- z x) (/ 1 t)))

simplify4.9s

Counts
97 → 97
Iterations

Useful iterations: done (4.9s)

IterNodesCost
01581179
14221059
22741812
done5001803

prune296.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.9b
(/ (* (cbrt y) (- z x)) t)
2.5b
(* (* (cbrt y) (cbrt y)) (/ (* (cbrt y) (- z x)) t))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
21×add-cbrt-cube
12×prod-exp cbrt-unprod
11×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow1
7×associate-*r*
6×cbrt-undiv cbrt-prod times-frac div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/ pow-prod-down associate-/r*
2×pow1/3 div-inv associate-/l/
1×flip3-- frac-2neg associate-*l* clear-num *-commutative flip-- associate-/l* unswap-sqr
Counts
4 → 85
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
41.0ms
(/ (* (cbrt y) (- z x)) t)
69.0ms
(* (* (cbrt y) (cbrt y)) (/ (* (cbrt y) (- z x)) t))

series918.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt y)
265.0ms
(cbrt y)
289.0ms
(/ (* (cbrt y) (- z x)) t)
108.0ms
(* (* (cbrt y) (cbrt y)) (/ (* (cbrt y) (- z x)) t))

simplify2.5s

Counts
97 → 97
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01341172
14041113
22526819
done5000700

prune345.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

-1.3% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch79.0ms

Steps
ItersRangePoint
8
4.932101794923006e-105
2.151952587437735e-100
5.248255780313278e-105
8
7.427930172678588e-287
1.328164612458788e-282
5.085802590344858e-285

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01633
12126
done2126

end0.0ms

sample1.5s

Algorithm
intervals
Results
527.0ms10562×body80valid