Details

Time bar (total: 21.5s)

sample31.0ms

Algorithm
intervals
Results
13.0ms350×body80valid

simplify10.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
089
1149
2259
3488
4958
51378
61788
72188
82678
93728
104678
115268
125858
136308
146688
157978
169358
1712498
1817368
1923488
2025178
2125248
done25248

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

2.0b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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)

series58.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (/ y t) (- z x) x)

simplify1.0s

Counts
13 → 13
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
023154
140154
293138
3266123
41166123
done5000123

prune65.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ y t) (- z x) x)) (cbrt (fma (/ y t) (- z x) x)))
2.0b
(fma (/ y t) (- z x) x)
2.0b
(fma (/ y t) (- z x) x)
2.0b
(fma (/ y t) (- z x) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×add-cube-cbrt *-un-lft-identity
11×pow1
add-exp-log pow1/3 swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
fma-udef
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
21.0ms
(* (cbrt (fma (/ y t) (- z x) x)) (cbrt (fma (/ y t) (- z x) x)))
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)

series597.0ms

Counts
4 → 12
Calls
4 calls:
473.0ms
(* (cbrt (fma (/ y t) (- z x) x)) (cbrt (fma (/ y t) (- z x) x)))
36.0ms
(fma (/ y t) (- z x) x)
48.0ms
(fma (/ y t) (- z x) x)
39.0ms
(fma (/ y t) (- z x) x)

simplify3.6s

Counts
84 → 84
Iterations

Useful iterations: 4 (1.9s)

IterNodesCost
0911506
11801393
24391268
311501042
446441028
done50001028

prune320.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
8.2b
(/ (* y (- z x)) t)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
pow1 associate-*r* add-log-exp
associate-*r/
expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
10.0ms
(+ x (/ (* y (- z x)) t))
23.0ms
(* y (- z x))
22.0ms
(/ (* y (- z x)) t)

series170.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ x (/ (* y (- z x)) t))
53.0ms
(* y (- z x))
57.0ms
(/ (* y (- z x)) t)

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01671262
13781055
21045875
done5000835

prune199.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
0.0b
(/ t (- z x))
4.8b
(/ y (/ t (- z x)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
104×add-sqr-sqrt
72×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip-- add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u fma-def log1p-expm1-u
frac-2neg clear-num
+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 160
Calls
3 calls:
42.0ms
(+ x (/ y (/ t (- z x))))
15.0ms
(/ t (- z x))
17.0ms
(/ y (/ t (- z x)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ x (/ y (/ t (- z x))))
41.0ms
(/ t (- z x))
78.0ms
(/ y (/ t (- z x)))

simplify1.5s

Counts
169 → 169
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02482339
15382180
218182087
done50002054

prune552.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes233.0ms

Accuracy

29.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02052
12552
done2552

end0.0ms

sample1.3s

Algorithm
intervals
Results
563.0ms10660×body80valid