Details

Time bar (total: 19.3s)

sample24.0ms

Algorithm
intervals
Results
10.0ms282×body80valid

simplify4.4s

Counts
1 → 1
Iterations
IterNodes
done5000
184706
174374
164030
153643
143174
132610
121673
11892
10514
9408
8343
7276
6198
5139
494
358
233
117
010

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.2b
(fma t (/ (- y z) (- a z)) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
23.0ms
(/ (- y z) (- a z))
0.0ms
(fma t (/ (- y z) (- a z)) x)

series160.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- y z) (- a z))
103.0ms
(fma t (/ (- y z) (- a z)) x)

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done5004
32029
2651
1264
0113

prune358.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.4b
(/ 1 (/ (- a z) (- y z)))
2.2b
(fma t (/ 1 (/ (- a z) (- y z))) x)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- div-inv flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×div-sub fma-udef pow-flip inv-pow
Counts
3 → 214
Calls
3 calls:
32.0ms
(/ (- a z) (- y z))
31.0ms
(/ 1 (/ (- a z) (- y z)))
1.0ms
(fma t (/ 1 (/ (- a z) (- y z))) x)

series487.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ (- a z) (- y z))
155.0ms
(/ 1 (/ (- a z) (- y z)))
252.0ms
(fma t (/ 1 (/ (- a z) (- y z))) x)

simplify1.5s

Counts
223 → 223
Iterations
IterNodes
done5000
21849
1696
0270

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ t (- a z)) (- y z)) x)
9.9b
(* (/ t (- a z)) (- y z))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
44×*-un-lft-identity
36×prod-diff add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
16×times-frac
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×pow1 sub-neg distribute-lft-out-- add-log-exp difference-of-squares
3×flip3-- flip--
2×expm1-log1p-u frac-times prod-exp associate-*r/ associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv
Counts
2 → 106
Calls
2 calls:
30.0ms
(+ (* (/ t (- a z)) (- y z)) x)
65.0ms
(* (/ t (- a z)) (- y z))

series475.0ms

Counts
2 → 6
Calls
2 calls:
264.0ms
(+ (* (/ t (- a z)) (- y z)) x)
211.0ms
(* (/ t (- a z)) (- y z))

simplify2.5s

Counts
112 → 112
Iterations
IterNodes
done5000
34846
21522
1538
0194

prune704.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt t) (cbrt (- a z))) (- y z)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
44×distribute-rgt-in distribute-lft-in
39×add-cbrt-cube
37×prod-exp cbrt-unprod
36×prod-diff
32×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×cbrt-undiv div-exp
13×frac-times associate-*l*
12×cbrt-div
11×associate-*r/
10×flip3-- flip--
9×cbrt-prod pow1
8×associate-/r/
5×associate-*l/
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 150
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
120.0ms
(* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt t) (cbrt (- a z))) (- y z)))

series936.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(cbrt t)
253.0ms
(cbrt t)
253.0ms
(cbrt t)
195.0ms
(* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt t) (cbrt (- a z))) (- y z)))

simplify2.2s

Counts
162 → 162
Iterations
IterNodes
done5022
23777
1963
0285

prune688.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes415.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
016

end0.0ms

sample1.3s

Algorithm
intervals
Results
771.0ms8771×body80valid
0.0ms1×body640valid
0.0ms1×body320valid