Details

Time bar (total: 15.1s)

sample55.0ms

Algorithm
intervals
Results
22.0ms353×body80valid

simplify138.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1157
2347
3717
41007
51067
done1067

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.6b
(* (* y (- x z)) t)

rewrite110.0ms

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:
41.0ms
(* y (- x z))
66.0ms
(* (* y (- x z)) t)

series150.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* y (- x z))
85.0ms
(* (* y (- x z)) t)

simplify1.5s

Counts
52 → 52
Iterations

Useful iterations: done (1.5s)

IterNodesCost
081452
1209428
21038374
done5000366

prune337.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
7.2b
(* y (* (- x z) t))

rewrite113.0ms

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:
49.0ms
(* (- x z) t)
62.0ms
(* y (* (- x z) t))

series136.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (- x z) t)
74.0ms
(* y (* (- x z) t))

simplify860.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
077417
1188403
2785337
done5000337

prune337.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

6.6b
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
8.4b
(cbrt (* y (- x z)))
8.4b
(cbrt (* y (- x z)))
8.4b
(cbrt (* y (- x z)))

rewrite396.0ms

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:
341.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
14.0ms
(cbrt (* y (- x z)))
15.0ms
(cbrt (* y (- x z)))
14.0ms
(cbrt (* y (- x z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (cbrt (* y (- x z)))) t)
290.0ms
(cbrt (* y (- x z)))
300.0ms
(cbrt (* y (- x z)))
315.0ms
(cbrt (* y (- x z)))

simplify1.4s

Counts
92 → 92
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01631864
14071828
214611413
done50001311

prune812.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
6.6b
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (* (cbrt y) (cbrt (- x z)))) t)
8.4b
(cbrt (* y (- x z)))
8.4b
(cbrt (* y (- x z)))

rewrite525.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
58×cbrt-div
40×associate-*l/
29×flip3-- flip--
28×frac-times
22×pow1 add-exp-log
14×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×cbrt-prod
4×add-log-exp
3×pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 86
Calls
4 calls:
2.0ms
(cbrt y)
481.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (* (cbrt y) (cbrt (- x z)))) t)
15.0ms
(cbrt (* y (- x z)))
15.0ms
(cbrt (* y (- x z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
338.0ms
(cbrt y)
116.0ms
(* (* (* (cbrt (* y (- x z))) (cbrt (* y (- x z)))) (* (cbrt y) (cbrt (- x z)))) t)
280.0ms
(cbrt (* y (- x z)))
278.0ms
(cbrt (* y (- x z)))

simplify2.1s

Counts
98 → 98
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01982038
15861989
224261753
done50011708

prune890.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes761.0ms

Accuracy

64.4% (2.5b remaining)

Error of 2.5b against oracle of 0.1b and baseline of 7.0b

bsearch110.0ms

Steps
ItersRangePoint
8
4.364571444884917e-62
3.413367956702204e-59
2.7791553523823977e-59
5
-2.1484310826035423e-45
-9.613442420039815e-46
-1.3553932494300151e-45

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01529
12223
done2223

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s10688×body80valid