Details

Time bar (total: 18.0s)

sample77.0ms

Algorithm
intervals
Results
41.0ms499×body80valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
011284
124204
244179
358179
460179
done60179

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
1.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
21.0ms
(* (/ z t) (/ z t))

series194.0ms

Counts
2 → 6
Calls
2 calls:
149.0ms
(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
44.0ms
(* (/ z t) (/ z t))

simplify2.2s

Counts
85 → 85
Iterations

Useful iterations: done (2.2s)

IterNodesCost
012921017
142516514
2289315271
done500014916

prune566.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z t)) (cbrt (/ z t)))
10.5b
(cbrt (/ z t))
10.5b
(cbrt (/ z t))
10.5b
(cbrt (/ z t))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
32.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
2.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))
4.0ms
(cbrt (/ z t))

series499.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
125.0ms
(cbrt (/ z t))
101.0ms
(cbrt (/ z t))
118.0ms
(cbrt (/ z t))

simplify1.5s

Counts
164 → 164
Iterations

Useful iterations: done (1.5s)

IterNodesCost
016551851
129049272
2123048829
done500148149

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ z t) (cbrt (* (/ z t) (/ z t))))
0.3b
(* (/ z t) (/ z t))
10.5b
(cbrt (/ z t))
21.8b
(cbrt (* (/ z t) (/ z t)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
60×times-frac
47×*-un-lft-identity add-cube-cbrt
26×associate-*l*
21×add-exp-log
19×add-cbrt-cube
17×cbrt-prod associate-*r*
13×pow1 swap-sqr
10×cbrt-div
8×unswap-sqr
7×frac-times associate-*r/
6×prod-exp cbrt-unprod div-inv
5×cbrt-undiv div-exp associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 pow-prod-down *-commutative
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 150
Calls
4 calls:
31.0ms
(* (/ z t) (cbrt (* (/ z t) (/ z t))))
19.0ms
(* (/ z t) (/ z t))
2.0ms
(cbrt (/ z t))
12.0ms
(cbrt (* (/ z t) (/ z t)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (/ z t) (cbrt (* (/ z t) (/ z t))))
42.0ms
(* (/ z t) (/ z t))
94.0ms
(cbrt (/ z t))
116.0ms
(cbrt (* (/ z t) (/ z t)))

simplify2.8s

Counts
162 → 162
Iterations

Useful iterations: done (2.8s)

IterNodesCost
024042063
166738536
2399536797
done500136393

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt (/ 1 (* (cbrt t) (cbrt t))))
2.0b
(cbrt (/ z (cbrt t)))
21.8b
(cbrt (* (/ z t) (/ z t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
21×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
2×div-inv
1×frac-times associate-*l/ associate-*r/
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt t)
13.0ms
(cbrt (/ 1 (* (cbrt t) (cbrt t))))
5.0ms
(cbrt (/ z (cbrt t)))
12.0ms
(cbrt (* (/ z t) (/ z t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt t)
490.0ms
(cbrt (/ 1 (* (cbrt t) (cbrt t))))
249.0ms
(cbrt (/ z (cbrt t)))
146.0ms
(cbrt (* (/ z t) (/ z t)))

simplify1.7s

Counts
90 → 90
Iterations

Useful iterations: done (1.6s)

IterNodesCost
018932074
131129542
276829260
3286428540
done500128107

prune824.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.1b

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08179
done8179

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.6s15613×body80valid