Details

Time bar (total: 14.1s)

sample73.0ms

Algorithm
intervals
Results
17.0ms27×body1280valid
13.0ms42×body640valid
13.0ms212×body80valid
5.0ms110×body80nan
4.0ms22×body320valid
1.0msbody160valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01013
11813
22711
35211
410811
524411
657711
7185011
done500011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
8.7b
(log (/ y (+ z y)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
54×log-prod
48×times-frac
41×add-sqr-sqrt
39×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
11×add-exp-log
pow1 associate-/r/ add-cbrt-cube
add-log-exp
flip3-+ flip-+
associate-*r* associate-/r* div-inv
associate-*l* associate-/l*
div-exp rem-log-exp log-pow
cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 129
Calls
4 calls:
119.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
11.0ms
(/ y (+ z y))
32.0ms
(* y (log (/ y (+ z y))))
11.0ms
(log (/ y (+ z y)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
50.0ms
(/ y (+ z y))
97.0ms
(* y (log (/ y (+ z y))))
69.0ms
(log (/ y (+ z y)))

simplify1.4s

Counts
141 → 141
Iterations

Useful iterations: 3 (753.0ms)

IterNodesCost
01991893
13821790
28711647
322581598
done50021598

prune427.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.8b
(log (/ (cbrt y) (cbrt (+ z y))))
2.8b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod log-prod
84×*-un-lft-identity times-frac
60×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log
pow1
cbrt-div rem-log-exp associate-/r/ add-cbrt-cube add-log-exp
log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 140
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
17.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series819.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt y)
315.0ms
(cbrt y)
127.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
95.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.7s

Counts
152 → 152
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01732258
13132100
25632014
310821940
423821936
done50001924

prune801.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (exp (- z)) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
associate-/r* add-cbrt-cube associate-/l*
add-exp-log associate-/l/
pow1 cbrt-undiv neg-sub0 exp-neg frac-2neg exp-diff div-exp clear-num div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
12.0ms
(/ (exp (- z)) y)

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (exp (- z)) y)

simplify2.7s

Counts
32 → 32
Iterations

Useful iterations: 3 (203.0ms)

IterNodesCost
064299
1117289
2281269
3680267
42766267
done5001267

prune130.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01526
12026
done2026

end0.0ms

sample3.5s

Algorithm
intervals
Results
804.0ms6579×body80valid
618.0ms782×body1280valid
552.0ms552×body320valid
490.0ms955×body640valid
288.0ms3028×body80nan
95.0ms308×body160valid