Details

Time bar (total: 12.3s)

sample22.0ms

Algorithm
intervals
Results
10.0ms310×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
115123
225123
339123
449123
555123
6131123
7348123
81110123
93906123
done5000123

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (+ z x)))
0.0b
(* y (+ z x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
9.0ms
(+ x (* y (+ z x)))
18.0ms
(* y (+ z x))

series77.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ x (* y (+ z x)))
30.0ms
(* y (+ z x))

simplify907.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
0667371
12006347
27896267
done50006267

prune267.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (+ (* z y) (* x y)))
0.0b
(+ (* z y) (* x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log *-un-lft-identity
2×add-sqr-sqrt pow1 +-commutative flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
1×associate-+r+ distribute-rgt-out distribute-lft-out
Counts
2 → 26
Calls
2 calls:
22.0ms
(+ x (+ (* z y) (* x y)))
7.0ms
(+ (* z y) (* x y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (+ (* z y) (* x y)))
35.0ms
(+ (* z y) (* x y))

simplify1.8s

Counts
32 → 32
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0497553
11635511
26305511
328835511
done50015511

prune101.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
3.0ms
(cbrt (+ z x))
3.0ms
(cbrt (+ z x))
3.0ms
(cbrt (+ z x))
49.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))

series703.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (+ z x))
169.0ms
(cbrt (+ z x))
191.0ms
(cbrt (+ z x))
183.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))

simplify1.1s

Counts
107 → 107
Iterations

Useful iterations: done (1.1s)

IterNodesCost
011636781
127828697
2113028697
done500127857

prune554.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (+ z x)) (cbrt (+ z x))))
0.6b
(cbrt (* (cbrt (+ z x)) (cbrt (+ z x))))
0.6b
(* (cbrt (+ z x)) (cbrt (+ z x)))
0.6b
(* (cbrt (+ z x)) (cbrt (+ z x)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-div
50×cbrt-prod
48×*-un-lft-identity
36×add-sqr-sqrt
24×flip3-+ flip-+
20×add-cube-cbrt
18×pow1 swap-sqr
16×frac-times
14×pow1/3 associate-*r* associate-*l*
12×distribute-lft-out
8×associate-*l/ associate-*r/ add-exp-log unswap-sqr
4×add-cbrt-cube pow-prod-down pow-sqr pow-prod-up add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 140
Calls
4 calls:
12.0ms
(cbrt (* (cbrt (+ z x)) (cbrt (+ z x))))
11.0ms
(cbrt (* (cbrt (+ z x)) (cbrt (+ z x))))
34.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
38.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
405.0ms
(cbrt (* (cbrt (+ z x)) (cbrt (+ z x))))
329.0ms
(cbrt (* (cbrt (+ z x)) (cbrt (+ z x))))
216.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
202.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))

simplify1.7s

Counts
152 → 152
Iterations

Useful iterations: done (1.7s)

IterNodesCost
013764986
129952582
2103852038
done500051158

prune982.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes246.0ms

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
06123
19123
done9123

end0.0ms

sample708.0ms

Algorithm
intervals
Results
369.0ms10133×body80valid