Details

Time bar (total: 9.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms348×body80valid

simplify445.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1209
2409
3549
4759
51079
61629
72299
83469
94579
105179
115679
125809
135849
done5849

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
add-sqr-sqrt
add-exp-log times-frac add-cbrt-cube associate-/l*
distribute-lft-out--
add-cube-cbrt
cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
pow1 expm1-log1p-u flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
38.0ms
(/ (- (+ x y) z) (* t 2.0))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify1.7s

Counts
35 → 35
Iterations

Useful iterations: done (1.7s)

IterNodesCost
080438
1208430
2711374
32833372
done5000371

prune67.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ y t) (/ x t)) (/ z t))
0.0b
(+ (/ y t) (/ x t))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
246×*-un-lft-identity
181×times-frac
117×add-sqr-sqrt
112×add-cube-cbrt
104×prod-diff
64×distribute-lft-out
39×div-inv
15×distribute-rgt-out
13×fma-def
add-log-exp
fma-neg
distribute-lft-out--
frac-sub
pow1 add-exp-log expm1-log1p-u flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ log1p-expm1-u difference-of-squares
+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 170
Calls
2 calls:
154.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
15.0ms
(+ (/ y t) (/ x t))

series39.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
19.0ms
(+ (/ y t) (/ x t))

simplify668.0ms

Counts
176 → 176
Iterations

Useful iterations: done (657.0ms)

IterNodesCost
02545747
15875121
216083805
done50003693

prune277.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ y t)) (cbrt (/ y t)))
9.2b
(cbrt (/ y t))
9.2b
(cbrt (/ y t))
9.2b
(cbrt (/ y t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
16.0ms
(* (cbrt (/ y t)) (cbrt (/ y t)))
1.0ms
(cbrt (/ y t))
1.0ms
(cbrt (/ y t))
1.0ms
(cbrt (/ y t))

series268.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (cbrt (/ y t)) (cbrt (/ y t)))
62.0ms
(cbrt (/ y t))
62.0ms
(cbrt (/ y t))
60.0ms
(cbrt (/ y t))

simplify2.1s

Counts
164 → 164
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
01651926
12661797
26851725
318651647
437471562
done50001562

prune512.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 t))
0.6b
(cbrt y)
9.2b
(cbrt (/ y t))
9.2b
(cbrt (/ y t))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div div-inv
Counts
4 → 85
Calls
4 calls:
1.0ms
(cbrt (/ 1 t))
0.0ms
(cbrt y)
1.0ms
(cbrt (/ y t))
1.0ms
(cbrt (/ y t))

series468.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (/ 1 t))
172.0ms
(cbrt y)
63.0ms
(cbrt (/ y t))
61.0ms
(cbrt (/ y t))

simplify1.5s

Counts
97 → 97
Iterations

Useful iterations: 4 (558.0ms)

IterNodesCost
0137796
1206737
2385687
3958669
42826650
done5001650

prune320.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11313
done1313

end0.0ms

sample598.0ms

Algorithm
intervals
Results
301.0ms10901×body80valid