Details

Time bar (total: 11.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms297×body80valid
1.0ms8×body320valid
1.0ms6×body640valid
1.0ms4×body1280valid
0.0ms1×body160valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01213
12113
25012
313612
434212
588412
6206712
7393712
done500012

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
199×add-sqr-sqrt
195×prod-diff
191×*-un-lft-identity
185×add-cube-cbrt
146×times-frac
82×distribute-rgt-in associate-+r+ distribute-lft-in
16×div-inv
13×fma-neg
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
6×associate-*l*
5×sub-neg difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-def distribute-lft-out--
2×associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
13.0ms
(- (/ 2.0 3.0) z)
10.0ms
(* (- y x) 6.0)
16.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
44.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series159.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
29.0ms
(* (- y x) 6.0)
64.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
44.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.2s

Counts
316 → 316
Iterations

Useful iterations: done (1.2s)

IterNodesCost
04007667
19606190
236215293
done50005263

prune750.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))
0.0b
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)))
0.1b
(* (- y x) (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))))
1.0b
(/ 2.0 (cbrt 3.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
22×add-cube-cbrt
18×times-frac
13×add-exp-log
12×cbrt-prod add-cbrt-cube
11×pow1
8×associate-*l*
7×fma-udef
6×associate-/r*
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×associate-/l*
2×associate-*l/ *-commutative
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
0.0ms
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))
3.0ms
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)))
13.0ms
(* (- y x) (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))))
3.0ms
(/ 2.0 (cbrt 3.0))

series451.0ms

Counts
4 → 10
Calls
4 calls:
152.0ms
(fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))
167.0ms
(* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z)))
132.0ms
(* (- y x) (* 6.0 (fma (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)) (- z))))
0.0ms
(/ 2.0 (cbrt 3.0))

simplify517.0ms

Counts
111 → 111
Iterations

Useful iterations: done (513.0ms)

IterNodesCost
01751838
13571805
211651450
done50021446

prune362.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

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:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series717.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt x) (cbrt x))
173.0ms
(cbrt x)
178.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: 3 (320.0ms)

IterNodesCost
065554
1119443
2383423
31868405
done5000405

prune266.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (pow (* (* (- (/ 2.0 3.0) z) (- y x)) 6.0) 1))
0.2b
(* (* (- (/ 2.0 3.0) z) (- y x)) 6.0)
0.2b
(* (- (/ 2.0 3.0) z) (- y x))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
69×*-un-lft-identity
61×add-cube-cbrt
57×prod-diff
38×times-frac
13×flip3-- fma-neg flip--
12×associate-*l/
11×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
8×frac-times associate-*r* add-log-exp
7×associate-*l*
5×difference-of-squares
4×expm1-log1p-u associate-*r/ pow-prod-down prod-exp cbrt-unprod log1p-expm1-u div-inv
3×sub-neg fma-def distribute-lft-out--
2×*-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ distribute-lft-out unswap-sqr
Counts
4 → 169
Calls
4 calls:
13.0ms
(- (/ 2.0 3.0) z)
6.0ms
(+ x (pow (* (* (- (/ 2.0 3.0) z) (- y x)) 6.0) 1))
51.0ms
(* (* (- (/ 2.0 3.0) z) (- y x)) 6.0)
44.0ms
(* (- (/ 2.0 3.0) z) (- y x))

series151.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
56.0ms
(+ x (pow (* (* (- (/ 2.0 3.0) z) (- y x)) 6.0) 1))
39.0ms
(* (* (- (/ 2.0 3.0) z) (- y x)) 6.0)
37.0ms
(* (- (/ 2.0 3.0) z) (- y x))

simplify916.0ms

Counts
181 → 181
Iterations

Useful iterations: done (910.0ms)

IterNodesCost
02973414
16642760
224912322
done50002316

prune366.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02232
13032
done3032

end0.0ms

sample555.0ms

Algorithm
intervals
Results
268.0ms9377×body80valid
34.0ms274×body640valid
21.0ms141×body1280valid
17.0ms220×body320valid
7.0ms123×body160valid