Details

Time bar (total: 20.4s)

sample37.0ms

Algorithm
intervals
Results
19.0ms274×body80valid

simplify4.8s

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.4b
(fma t (/ (- y z) (- a z)) x)

rewrite58.0ms

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/ insert-posit16 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 → 66
Calls
2 calls:
48.0ms
(/ (- y z) (- a z))
1.0ms
(fma t (/ (- y z) (- a z)) x)

series196.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (- y z) (- a z))
114.0ms
(fma t (/ (- y z) (- a z)) x)

simplify1.8s

Counts
72 → 72
Iterations
IterNodes
done5004
32021
2655
1266
0115

prune433.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.2b
(* t (/ (- y z) (- a z)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 108
Calls
2 calls:
32.0ms
(/ (- y z) (- a z))
77.0ms
(* t (/ (- y z) (- a z)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- y z) (- a z))
106.0ms
(* t (/ (- y z) (- a z)))

simplify2.9s

Counts
114 → 114
Iterations
IterNodes
done5000
34741
21142
1377
0144

prune643.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
1.4b
(fma t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 65
Calls
4 calls:
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
6.0ms
(cbrt (- y z))
1.0ms
(fma t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) x)

series863.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (- y z))
240.0ms
(cbrt (- y z))
251.0ms
(cbrt (- y z))
135.0ms
(fma t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) x)

simplify2.7s

Counts
77 → 77
Iterations
IterNodes
done5000
42935
3981
2414
1196
095

prune643.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
10.5b
(* (/ t (- a z)) (- y z))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv sub-neg div-exp prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
2 → 111
Calls
2 calls:
14.0ms
(/ t (- a z))
70.0ms
(* (/ t (- a z)) (- y z))

series266.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ t (- a z))
230.0ms
(* (/ t (- a z)) (- y z))

simplify2.4s

Counts
117 → 117
Iterations
IterNodes
done5000
34583
21383
1534
0196

prune534.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes295.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.2s

Algorithm
intervals
Results
875.0ms8738×body80valid
0.0ms1×body160valid