Details

Time bar (total: 17.0s)

sample30.0ms

Algorithm
intervals
Results
12.0ms346×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
089
1149
2259
3488
4998
51728
62528
74258
810788
935538
done50008

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.0b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y t) (- z x) x)

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(fma (/ y t) (- z x) x)

simplify1.5s

Counts
13 → 13
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
023154
140154
293138
3276123
41619123
done5001123

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (/ (- z x) t)) x)
0.0b
(/ (- z x) t)
6.9b
(* y (/ (- z x) t))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 94
Calls
3 calls:
27.0ms
(+ (* y (/ (- z x) t)) x)
23.0ms
(/ (- z x) t)
42.0ms
(* y (/ (- z x) t))

series176.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (* y (/ (- z x) t)) x)
53.0ms
(/ (- z x) t)
72.0ms
(* y (/ (- z x) t))

simplify1.1s

Counts
103 → 103
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01431099
13751026
21598960
done5000951

prune342.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.0b
(* y (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
77.0ms
(* y (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))

series1.1s

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt t)
248.0ms
(cbrt t)
303.0ms
(cbrt t)
293.0ms
(* y (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01311012
1371964
21717753
done5000696

prune336.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (- (/ z t) (/ x t))) x)
0.4b
(- (/ z t) (/ x t))
6.9b
(* y (- (/ z t) (/ x t)))

rewrite503.0ms

Algorithm
rewrite-expression-head
Rules
1199×times-frac
952×add-sqr-sqrt
942×*-un-lft-identity
926×add-cube-cbrt
845×prod-diff
342×distribute-rgt-in associate-+l+ distribute-lft-in
135×div-inv
13×fma-neg
12×associate-*r*
8×distribute-lft-out-- difference-of-squares
7×add-log-exp
5×pow1 add-exp-log sub-neg add-cbrt-cube
4×associate-*r/
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
1×+-commutative fma-def flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 938
Calls
3 calls:
137.0ms
(+ (* y (- (/ z t) (/ x t))) x)
43.0ms
(- (/ z t) (/ x t))
207.0ms
(* y (- (/ z t) (/ x t)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (* y (- (/ z t) (/ x t))) x)
41.0ms
(- (/ z t) (/ x t))
81.0ms
(* y (- (/ z t) (/ x t)))

simplify1.7s

Counts
947 → 947
Iterations

Useful iterations: done (1.6s)

IterNodesCost
077033891
1172529494
done500122761

prune4.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01427
11727
done1727

end0.0ms

sample1.4s

Algorithm
intervals
Results
604.0ms10742×body80valid