Details

Time bar (total: 10.2s)

sample21.0ms

Algorithm
intervals
Results
10.0ms323×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1157
2347
3657
4867
5957
done957

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z y))
5.2b
(* (- (* x y) (* z y)) t)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
2.0ms
(- (* x y) (* z y))
9.0ms
(* (- (* x y) (* z y)) t)

series78.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (* x y) (* z y))
45.0ms
(* (- (* x y) (* z y)) t)

simplify1.4s

Counts
40 → 40
Iterations

Useful iterations: 3 (237.0ms)

IterNodesCost
060467
1160365
2613327
32872325
done5000325

prune92.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
5.7b
(* y (* (- x z) t))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
10.0ms
(* (- x z) t)
15.0ms
(* y (* (- x z) t))

series70.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- x z) t)
39.0ms
(* y (* (- x z) t))

simplify1.6s

Counts
48 → 48
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
077417
1188403
2736337
33375337
done5001337

prune104.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.2b
(* (* y (- x z)) t)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*r*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* y (- x z))
14.0ms
(* (* y (- x z)) t)

series76.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- x z))
41.0ms
(* (* y (- x z)) t)

simplify2.5s

Counts
52 → 52
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
081452
1200428
2873366
33864366
done5001366

prune98.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
6.9b
(cbrt (* y (- x z)))
6.9b
(cbrt (* y (- x z)))
6.9b
(cbrt (* y (- x z)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r/
60×cbrt-div
40×associate-*l/
30×flip3-- flip--
28×frac-times
13×pow1 add-exp-log
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
77.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
3.0ms
(cbrt (* y (- x z)))
3.0ms
(cbrt (* y (- x z)))
3.0ms
(cbrt (* y (- x z)))

series551.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
157.0ms
(cbrt (* y (- x z)))
161.0ms
(cbrt (* y (- x z)))
163.0ms
(cbrt (* y (- x z)))

simplify2.4s

Counts
92 → 92
Iterations

Useful iterations: 3 (437.0ms)

IterNodesCost
01631864
13831828
211141413
338491311
done50011311

prune234.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

62.3% (2.5b remaining)

Error of 2.6b against oracle of 0.1b and baseline of 6.8b

bsearch35.0ms

Steps
ItersRangePoint
6
675314123564825.6
3807229630376287.0
752007501190631.0
3
-7.045439139166774e-26
-4.960933071299536e-26
-6.615416921974751e-26

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01529
12223
done2223

end0.0ms

sample522.0ms

Algorithm
intervals
Results
265.0ms10601×body80valid