Details

Time bar (total: 4.8s)

sample25.0ms

Algorithm
intervals
Results
7.0ms257×body80valid
2.0ms17×body640valid
1.0ms10×body320valid
1.0ms4×body1280valid
0.0ms8×body160valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0236
1465
21285
33625
410245
522965
650015
done50015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
12.9b
(fma (- y z) (/ (- t x) (- 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-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
22.0ms
(/ (- t x) (- a z))
0.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

series153.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- t x) (- a z))
98.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

simplify54.0ms

Counts
70 → 70
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0268450
1733425
22490423
35001421
done5001421

prune195.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
12.9b
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
14.0ms
(/ 1 (- a z))
42.0ms
(* (- t x) (/ 1 (- a z)))
0.0ms
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series191.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- a z))
53.0ms
(* (- t x) (/ 1 (- a z)))
100.0ms
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify40.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0350602
11497525
25001481
done5001481

prune258.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
2.1b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.8b
(* (- y z) (/ (- t x) (- a z)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
74×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u fma-def log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 128
Calls
3 calls:
22.0ms
(/ (- t x) (- a z))
9.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
58.0ms
(* (- y z) (/ (- t x) (- a z)))

series371.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (- t x) (- a z))
174.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
139.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify55.0ms

Counts
137 → 137
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0488901
12066849
25001847
done5001847

prune339.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(* (cbrt (- a z)) (cbrt (- a z)))
1.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
8.0b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt
79×*-un-lft-identity
60×cbrt-prod
54×associate-*r*
52×times-frac
35×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
21×distribute-lft-out--
19×difference-of-squares
18×add-cbrt-cube
14×flip3-- flip--
13×pow1
10×swap-sqr associate-/r/ unswap-sqr
9×frac-times prod-exp cbrt-unprod
7×cbrt-undiv pow1/3 div-exp
6×add-log-exp
5×associate-*r/ associate-*l/
4×expm1-log1p-u log1p-expm1-u
3×fma-def pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 186
Calls
4 calls:
4.0ms
(cbrt (- a z))
37.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
129.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series773.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- a z))
129.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
314.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
177.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify118.0ms

Counts
198 → 198
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08602235
142582044
250011974
done50011974

prune600.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 3.7b

regimes332.0ms

Accuracy

23.4% (6.3b remaining)

Error of 10.1b against oracle of 3.8b and baseline of 12.0b

bsearch85.0ms

Steps
ItersRangePoint
10
7.346321724636187e-176
1.2229713655162855e-164
6.435868560953577e-167
6
-6.2644240542124365e-149
-4.011986779727863e-150
-2.3651315636152535e-149

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04039
14039
done4039

end0.0ms

sample731.0ms

Algorithm
intervals
Results
225.0ms7795×body80valid
52.0ms479×body640valid
37.0ms412×body320valid
35.0ms249×body1280valid
14.0ms264×body160valid
3.0ms20×body2560valid