Details

Time bar (total: 4.7s)

sample41.0ms

Algorithm
intervals
Results
16.0ms427×body80valid

simplify40.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (39.0ms)

IterNodesCost
03810
11189
24289
317639
450028
done50028

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0b
(fma b (- (+ y t) 2.0) x)
0.0b
(* (- t 1.0) a)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×fma-neg associate-*r* prod-diff fma-udef
2×flip3-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
6.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0ms
(fma b (- (+ y t) 2.0) x)
20.0ms
(* (- t 1.0) a)

series333.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
81.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
49.0ms
(fma b (- (+ y t) 2.0) x)
33.0ms
(* (- t 1.0) a)

simplify99.0ms

Counts
77 → 77
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0260488
1831429
24460414
35001413
done5001413

prune241.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
26.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
7.0ms
(cbrt (* (- t 1.0) a))
7.0ms
(cbrt (* (- t 1.0) a))
7.0ms
(cbrt (* (- t 1.0) a))

series351.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
83.0ms
(cbrt (* (- t 1.0) a))
84.0ms
(cbrt (* (- t 1.0) a))
83.0ms
(cbrt (* (- t 1.0) a))

simplify39.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0369876
11139819
25001745
done5001745

prune422.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (cbrt a) (cbrt a))
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)

series735.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt a) (cbrt a))
180.0ms
(cbrt a)
183.0ms
(cbrt a)
177.0ms
(cbrt a)

simplify88.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune347.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))
0.0b
(- (fma b y (fma b t x)) (* (- t 1.0) a))
0.0b
(* (- t 1.0) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity
7×add-cube-cbrt
5×pow1 add-exp-log associate-*l* add-cbrt-cube add-log-exp
3×expm1-log1p-u fma-neg associate-*r* prod-diff log1p-expm1-u
2×flip3-- associate-*l/ flip-- fma-udef
1×sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 55
Calls
3 calls:
0.0ms
(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))
6.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))
20.0ms
(* (- t 1.0) a)

series268.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))
83.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))
32.0ms
(* (- t 1.0) a)

simplify98.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0236394
1782343
24407331
35001331
done5001331

prune200.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188
done188

end0.0ms

sample1.1s

Algorithm
intervals
Results
499.0ms12556×body80valid
0.0ms2×body160valid
0.0ms1×body320valid