Details

Time bar (total: 3.5s)

sample19.0ms

Algorithm
intervals
Results
7.0ms336×body80valid

simplify144.0ms

Counts
1 → 1
Iterations

Useful iterations: 8 (48.0ms)

IterNodesCost
0144
1344
2924
32324
44914
57854
611154
714824
822183
933493
1048193
1150013
done50013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- y 1.0) z 1.0)
3.4b
(* (fma (- y 1.0) z 1.0) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma (- y 1.0) z 1.0)
7.0ms
(* (fma (- y 1.0) z 1.0) x)

series83.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(fma (- y 1.0) z 1.0)
56.0ms
(* (fma (- y 1.0) z 1.0) x)

simplify49.0ms

Counts
36 → 36
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0108166
1323137
21922133
35001133
done5001133

prune84.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
3.6b
(cbrt (fma (- y 1.0) z 1.0))
3.6b
(cbrt (fma (- y 1.0) z 1.0))
3.6b
(cbrt (fma (- y 1.0) z 1.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
10×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 63
Calls
4 calls:
35.0ms
(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series368.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
104.0ms
(cbrt (fma (- y 1.0) z 1.0))
104.0ms
(cbrt (fma (- y 1.0) z 1.0))
103.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify85.0ms

Counts
75 → 75
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0270794
1864635
23690546
35002517
done5002517

prune216.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b
(cbrt (fma (- y 1.0) z 1.0))
3.6b
(cbrt (fma (- y 1.0) z 1.0))
3.6b
(cbrt (fma (- y 1.0) z 1.0))
3.6b
(cbrt (fma (- y 1.0) z 1.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))
1.0ms
(cbrt (fma (- y 1.0) z 1.0))

series421.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (fma (- y 1.0) z 1.0))
105.0ms
(cbrt (fma (- y 1.0) z 1.0))
106.0ms
(cbrt (fma (- y 1.0) z 1.0))
106.0ms
(cbrt (fma (- y 1.0) z 1.0))

simplify47.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0146552
1360520
21293476
35002448
done5002448

prune277.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
2.9b
(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
11×add-cbrt-cube
10×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
68.0ms
(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
21.0ms
(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt x)
190.0ms
(cbrt x)
76.0ms
(* (* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
147.0ms
(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

simplify45.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0273597
11207457
25001401
done5001401

prune199.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

96.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.8b

bsearch63.0ms

Steps
ItersRangePoint
10
2.925089333066609e-14
0.02319676823116778
2.6466683776260942e-08
6
-1.8070707071506563e+17
-12803139111072366.0
-2.970615850845824e+16

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227
done227

end0.0ms

sample506.0ms

Algorithm
intervals
Results
224.0ms10164×body80valid