Details

Time bar (total: 14.4s)

sample35.0ms

Algorithm
intervals
Results
13.0ms334×body80valid

simplify2.1s

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

localize11.0ms

Local error

Found 1 expressions with local error:

1.7b
(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:
0.0ms
(fma (/ y t) (- z x) x)

series51.0ms

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

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
023154
140154
293138
3276123
41619123
done5001123

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
6.9b
(/ (* y (- z x)) t)

rewrite78.0ms

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
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-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:
18.0ms
(+ x (/ (* y (- z x)) t))
31.0ms
(* y (- z x))
21.0ms
(/ (* y (- z x)) t)

series188.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ x (/ (* y (- z x)) t))
52.0ms
(* y (- z x))
71.0ms
(/ (* y (- z x)) t)

simplify1.3s

Counts
97 → 97
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01671262
14311061
21854905
done5001859

prune360.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.8b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
72.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series956.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt t)
291.0ms
(cbrt t)
237.0ms
(cbrt t)
129.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify2.7s

Counts
124 → 124
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01651625
15211563
235441237
done50021215

prune666.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

6.9b
(/ (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x)))) t)
8.4b
(cbrt (* y (- z x)))
8.4b
(cbrt (* y (- z x)))
8.4b
(cbrt (* y (- z x)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r/
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-/l/
14×associate-*l/
13×add-exp-log
9×add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv cbrt-prod times-frac pow1/3 div-exp prod-exp associate-/r* cbrt-unprod
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
88.0ms
(/ (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x)))) t)
7.0ms
(cbrt (* y (- z x)))
7.0ms
(cbrt (* y (- z x)))
10.0ms
(cbrt (* y (- z x)))

series828.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(/ (* (* (cbrt (* y (- z x))) (cbrt (* y (- z x)))) (cbrt (* y (- z x)))) t)
225.0ms
(cbrt (* y (- z x)))
217.0ms
(cbrt (* y (- z x)))
251.0ms
(cbrt (* y (- z x)))

simplify1.2s

Counts
102 → 102
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01421744
13551626
213561219
done50001100

prune732.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes339.0ms

Accuracy

58.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01751
12343
done2343

end0.0ms

sample1.3s

Algorithm
intervals
Results
575.0ms10684×body80valid