Details

Time bar (total: 23.5s)

sample87.0ms

Algorithm
intervals
Results
32.0ms407×body80valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01111
11811
22511
32711
done2711

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

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:
17.0ms
(+ (* x y) (* z t))
82.0ms
(+ (+ (* x y) (* z t)) (* a b))

series215.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(+ (* x y) (* z t))
144.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify1.0s

Counts
30 → 30
Iterations

Useful iterations: done (1.0s)

IterNodesCost
057421
1188395
2905373
done5000369

prune238.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.6b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite329.0ms

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:
240.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
26.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
28.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
28.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series1.2s

Counts
4 → 12
Calls
4 calls:
440.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
271.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
254.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
231.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify1.2s

Counts
99 → 99
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01282784
13302609
211712429
done50002188

prune924.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* a b) (* a b))
0.3b
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
4.3b
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
29.7b
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite352.0ms

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:
48.0ms
(* (* a b) (* a b))
66.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
64.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
166.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series1.3s

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (* a b) (* a b))
89.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
760.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
357.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify4.1s

Counts
132 → 132
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01903679
16313314
243552974
done50012654

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (+ (* x y) (* z t)) (* x y))
3.2b
(* (* z t) (+ (* x y) (* z t)))
4.3b
(- (+ (* (+ (* x y) (* z t)) (* x y)) (* (* z t) (+ (* x y) (* z t)))) (* (* a b) (* a b)))
29.7b
(/ (- (+ (* (+ (* x y) (* z t)) (* x y)) (* (* z t) (+ (* x y) (* z t)))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite947.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
14×pow1
12×times-frac
9×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
5×difference-of-squares
4×associate-*r* associate-*l* associate-/l*
3×flip3-- associate-/r* flip--
2×flip3-+ diff-log associate-*r/ associate-*l/ associate-/r/ *-commutative flip-+ associate-/l/
1×cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
4 → 93
Calls
4 calls:
69.0ms
(* (+ (* x y) (* z t)) (* x y))
59.0ms
(* (* z t) (+ (* x y) (* z t)))
295.0ms
(- (+ (* (+ (* x y) (* z t)) (* x y)) (* (* z t) (+ (* x y) (* z t)))) (* (* a b) (* a b)))
520.0ms
(/ (- (+ (* (+ (* x y) (* z t)) (* x y)) (* (* z t) (+ (* x y) (* z t)))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series1.4s

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (+ (* x y) (* z t)) (* x y))
100.0ms
(* (* z t) (+ (* x y) (* z t)))
808.0ms
(- (+ (* (+ (* x y) (* z t)) (* x y)) (* (* z t) (+ (* x y) (* z t)))) (* (* a b) (* a b)))
363.0ms
(/ (- (+ (* (+ (* x y) (* z t)) (* x y)) (* (* z t) (+ (* x y) (* z t)))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify4.5s

Counts
105 → 105
Iterations

Useful iterations: done (4.5s)

IterNodesCost
01913893
15743781
238772910
done50012902

prune890.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes1.2s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11611
done1611

end0.0ms

sample2.2s

Algorithm
intervals
Results
923.0ms12021×body80valid