Details

Time bar (total: 14.8s)

sample36.0ms

Algorithm
intervals
Results
16.0ms346×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 5 (74.0ms)

IterNodesCost
099
1169
2329
3719
41739
54118
615318
done50008

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

2.1b
(fma (/ y a) (- t z) 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 a) (- t z) x)

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(fma (/ y a) (- t z) x)

simplify2.4s

Counts
13 → 13
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
024154
141154
294138
3288123
42297123
done5000123

prune65.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- t z) (/ a y)) x)
6.3b
(/ (- t z) (/ a y))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
134.0ms
(+ (/ (- t z) (/ a y)) x)
28.0ms
(/ (- t z) (/ a y))

series126.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (/ (- t z) (/ a y)) x)
65.0ms
(/ (- t z) (/ a y))

simplify1.6s

Counts
194 → 194
Iterations

Useful iterations: 2 (480.0ms)

IterNodesCost
02241920
16751800
231821697
done50001697

prune814.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(/ 1 (/ (* (cbrt a) (cbrt a)) (* (cbrt y) (cbrt y))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
22×div-exp
19×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-cbrt-cube
12×prod-exp
9×cbrt-undiv cbrt-prod
5×pow1 rec-exp 1-exp associate-/r* div-inv
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
1×pow-flip frac-2neg clear-num associate-/r/ inv-pow
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
49.0ms
(/ 1 (/ (* (cbrt a) (cbrt a)) (* (cbrt y) (cbrt y))))

series954.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt y)
267.0ms
(cbrt y)
280.0ms
(cbrt y)
119.0ms
(/ 1 (/ (* (cbrt a) (cbrt a)) (* (cbrt y) (cbrt y))))

simplify1.2s

Counts
109 → 109
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01481336
13921173
21844945
done5000880

prune441.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.8b
(* (* (cbrt y) (cbrt y)) (/ (- t z) (/ a (cbrt y))))
3.5b
(/ (- t z) (/ a (cbrt y)))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
423×times-frac
294×add-sqr-sqrt
285×*-un-lft-identity
195×add-cube-cbrt
115×associate-*r*
106×cbrt-prod
45×distribute-lft-out-- difference-of-squares
30×add-exp-log
22×associate-/r*
21×add-cbrt-cube
13×div-inv
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
5×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down
2×pow1/3 associate-/r/ associate-/l/
1×flip3-- frac-2neg div-sub associate-*r/ associate-*l* clear-num *-commutative flip--
Counts
4 → 328
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
111.0ms
(* (* (cbrt y) (cbrt y)) (/ (- t z) (/ a (cbrt y))))
47.0ms
(/ (- t z) (/ a (cbrt y)))

series877.0ms

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt y)
239.0ms
(cbrt y)
138.0ms
(* (* (cbrt y) (cbrt y)) (/ (- t z) (/ a (cbrt y))))
203.0ms
(/ (- t z) (/ a (cbrt y)))

simplify1.1s

Counts
340 → 340
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04185822
115835464
done50005149

prune1.4s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes408.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624
11824
done1824

end0.0ms

sample1.5s

Algorithm
intervals
Results
686.0ms10693×body80valid