Details

Time bar (total: 13.4s)

sample29.0ms

Algorithm
intervals
Results
13.0ms337×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
06

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
10.8b
(/ x (* y y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity prod-diff
19×add-cube-cbrt
16×times-frac
7×add-cbrt-cube fma-neg add-exp-log
5×div-inv
4×add-log-exp
3×associate-/l*
2×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u difference-of-squares
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log prod-exp cbrt-unprod flip-- distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
28.0ms
(- (/ x (* y y)) 3.0)
6.0ms
(/ x (* y y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (/ x (* y y)) 3.0)
30.0ms
(/ x (* y y))

simplify2.0s

Counts
74 → 74
Iterations
IterNodes
done5041
33092
2699
1265
0109

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (/ x y) y) 3.0)
0.2b
(/ (/ x y) y)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
342×times-frac
236×add-sqr-sqrt
229×*-un-lft-identity
227×add-cube-cbrt
129×prod-diff
43×fma-neg
21×div-inv
13×associate-/l*
7×add-cbrt-cube add-exp-log
4×add-log-exp
3×cbrt-undiv associate-/r* div-exp difference-of-squares
2×expm1-log1p-u pow1 log1p-expm1-u
1×clear-num sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out-- associate-/l/
Counts
2 → 262
Calls
2 calls:
71.0ms
(- (/ (/ x y) y) 3.0)
18.0ms
(/ (/ x y) y)

series75.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (/ (/ x y) y) 3.0)
26.0ms
(/ (/ x y) y)

simplify1.5s

Counts
268 → 268
Iterations
IterNodes
done5000
21746
1730
0316

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 1 y) (/ x y) (- 3.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ 1 y) (/ x y) (- 3.0))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(fma (/ 1 y) (/ x y) (- 3.0))

simplify2.1s

Counts
13 → 13
Iterations
IterNodes
done5002
41126
3247
281
136
022

prune55.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
320.0ms
(* (cbrt x) (cbrt x))
280.0ms
(cbrt x)
287.0ms
(cbrt x)
253.0ms
(cbrt x)

simplify3.5s

Counts
93 → 93
Iterations
IterNodes
done5000
44108
31072
2382
1140
065

prune457.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample680.0ms

Algorithm
intervals
Results
377.0ms10678×body80valid