Details

Time bar (total: 13.4s)

sample87.0ms

Algorithm
intervals
Results
41.0ms383×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11811
22511
32711
done2711

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
50.0ms
(+ (+ (* x y) (* z t)) (* a b))
10.0ms
(+ (* x y) (* z t))

series164.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(+ (+ (* x y) (* z t)) (* a b))
51.0ms
(+ (* x y) (* z t))

simplify1.0s

Counts
30 → 30
Iterations

Useful iterations: done (1.0s)

IterNodesCost
057421
1190395
2926373
done5000369

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.8b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
181.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
18.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
25.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
29.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series938.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
198.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
219.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
203.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify878.0ms

Counts
99 → 99
Iterations

Useful iterations: done (875.0ms)

IterNodesCost
01282784
13302609
211712429
done50002188

prune377.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* a b) (* a b))
0.3b
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
2.2b
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
27.3b
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×pow-prod-down
17×add-cube-cbrt *-un-lft-identity
12×times-frac
9×prod-exp cbrt-unprod
6×flip3-+ flip-+ add-log-exp
5×pow-sqr pow-prod-up difference-of-squares
4×frac-times swap-sqr associate-*r* associate-*l* associate-/l*
3×flip3-- pow-plus associate-/r* flip--
2×pow2 distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 120
Calls
4 calls:
36.0ms
(* (* a b) (* a b))
43.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
53.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
148.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series1.1s

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* a b) (* a b))
71.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
676.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
278.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify2.8s

Counts
132 → 132
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01903679
16313314
243552974
done50012654

prune450.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (- (+ (* x y) (* z t)) (* a b)) (cbrt (- (+ (* x y) (* z t)) (* a b))))
0.8b
(cbrt (- (+ (* x y) (* z t)) (* a b)))
0.8b
(cbrt (- (+ (* x y) (* z t)) (* a b)))
0.8b
(cbrt (- (+ (* x y) (* z t)) (* a b)))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/r*
5×pow1 flip3-- add-cbrt-cube flip--
4×pow1/3 add-log-exp
3×associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv pow-div
Counts
4 → 84
Calls
4 calls:
149.0ms
(/ (- (+ (* x y) (* z t)) (* a b)) (cbrt (- (+ (* x y) (* z t)) (* a b))))
34.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
31.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
32.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))

series923.0ms

Counts
4 → 12
Calls
4 calls:
321.0ms
(/ (- (+ (* x y) (* z t)) (* a b)) (cbrt (- (+ (* x y) (* z t)) (* a b))))
220.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
178.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))
204.0ms
(cbrt (- (+ (* x y) (* z t)) (* a b)))

simplify834.0ms

Counts
96 → 96
Iterations

Useful iterations: done (828.0ms)

IterNodesCost
01472807
13872677
213972514
done50012477

prune589.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes531.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11611
done1611

end0.0ms

sample1.6s

Algorithm
intervals
Results
636.0ms11938×body80valid