Details

Time bar (total: 12.2s)

sample55.0ms

Algorithm
intervals
Results
16.0ms294×body80valid
13.0ms341×body80nan

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01516
13016
28316
322416
461816
5160016
6320916
done500116

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a 0.5) b)
0.0b
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
10×sum-log
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*l/ flip-- associate--r+
4×frac-add
3×associate-+l+
2×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l- flip3-+ log-pow flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
10.0ms
(* (- a 0.5) b)
263.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
81.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series238.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (- a 0.5) b)
132.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
37.0ms
(- (+ (+ x y) z) (* z (log t)))
38.0ms
(* z (log t))

simplify711.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (179.0ms)

IterNodesCost
02041549
15271433
222131347
done50001347

prune296.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (cbrt t)) z)
0.3b
(* (* 2 (log (cbrt t))) z)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 60
Calls
4 calls:
4.0ms
(* (log (cbrt t)) z)
7.0ms
(* (* 2 (log (cbrt t))) z)
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series630.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (log (cbrt t)) z)
127.0ms
(* (* 2 (log (cbrt t))) z)
187.0ms
(cbrt t)
190.0ms
(cbrt t)

simplify1.8s

Counts
72 → 72
Iterations

Useful iterations: 3 (537.0ms)

IterNodesCost
088525
1201493
2687405
33056397
done5001397

prune297.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2 (log (cbrt t))) z)
0.3b
(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 63
Calls
4 calls:
7.0ms
(* (* 2 (log (cbrt t))) z)
9.0ms
(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series632.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (* 2 (log (cbrt t))) z)
130.0ms
(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
191.0ms
(cbrt t)
181.0ms
(cbrt t)

simplify630.0ms

Counts
75 → 75
Iterations

Useful iterations: done (628.0ms)

IterNodesCost
0123811
1296731
2945543
done5001524

prune328.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))) (* (- a 0.5) b))
0.1b
(- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t))))))
0.4b
(* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))
0.6b
(cbrt (- t))

rewrite366.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
12×pow1
10×cbrt-prod sum-log
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×diff-log associate-*r*
5×flip3-- pow-prod-down flip--
4×log-prod associate-*l/ frac-add
3×distribute-lft-neg-in associate-+l+ distribute-rgt-neg-in pow1/3 prod-exp log-pow cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in associate--l+ associate--r+
1×+-commutative associate-+l- neg-mul-1 flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 80
Calls
4 calls:
263.0ms
(+ (- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))) (* (- a 0.5) b))
82.0ms
(- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t))))))
18.0ms
(* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))
1.0ms
(cbrt (- t))

series1.0s

Counts
4 → 12
Calls
4 calls:
446.0ms
(+ (- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))) (* (- a 0.5) b))
172.0ms
(- (+ (+ x y) z) (* (* 3 z) (log (* (cbrt -1) (cbrt (- t))))))
185.0ms
(* (* 3 z) (log (* (cbrt -1) (cbrt (- t)))))
203.0ms
(cbrt (- t))

simplify795.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
02002137
15521953
223511837
done50001837

prune349.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02025
12725
done2725

end0.0ms

sample1.4s

Algorithm
intervals
Results
431.0ms9173×body80valid
349.0ms9022×body80nan
0.0ms2×body320valid
0.0ms1×body640valid