Details

Time bar (total: 25.3s)

sample26.0ms

Algorithm
intervals
Results
11.0ms325×body80valid

simplify9.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
089
1149
2278
3628
41088
51578
61948
72378
82968
93838
104788
115378
125968
136418
146798
158088
169468
1712618
1817508
1923628
2025368
2125438
done25438

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize9.0ms

Local error

Found 1 expressions with local error:

1.6b
(fma (- y x) (/ z t) 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:
1.0ms
(fma (- y x) (/ z t) x)

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (- y x) (/ z t) x)

simplify935.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
023154
141154
286138
3255123
41131123
done5002123

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- y x) (/ t z)) x)
8.0b
(/ (- y x) (/ t z))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
119.0ms
(+ (/ (- y x) (/ t z)) x)
23.0ms
(/ (- y x) (/ t z))

series129.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (/ (- y x) (/ t z)) x)
61.0ms
(/ (- y x) (/ t z))

simplify1.8s

Counts
194 → 194
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02211932
16021810
218701704
done50011696

prune736.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (/ t z)) (- (/ x (/ t z)) x))
0.0b
(- (/ x (/ t z)) x)
5.6b
(/ y (/ t z))
6.3b
(/ x (/ t z))

rewrite427.0ms

Algorithm
rewrite-expression-head
Rules
1278×times-frac
1159×add-sqr-sqrt
840×*-un-lft-identity
745×add-cube-cbrt
572×prod-diff
138×difference-of-squares
134×associate--r+
88×fma-neg
70×div-inv
48×distribute-lft-out--
26×associate-/r*
17×associate-/r/
14×add-exp-log add-cbrt-cube
11×add-log-exp
6×cbrt-undiv div-exp associate-/l*
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub
1×associate--r-
Counts
4 → 847
Calls
4 calls:
239.0ms
(- (/ y (/ t z)) (- (/ x (/ t z)) x))
66.0ms
(- (/ x (/ t z)) x)
9.0ms
(/ y (/ t z))
10.0ms
(/ x (/ t z))

series186.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (/ y (/ t z)) (- (/ x (/ t z)) x))
47.0ms
(- (/ x (/ t z)) x)
39.0ms
(/ y (/ t z))
37.0ms
(/ x (/ t z))

simplify3.5s

Counts
859 → 859
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
087833337
1197027081
2496523949
done500023949

prune3.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1 (/ (* (- y x) z) t)) x)
0.0b
(* (- y x) z)
6.3b
(/ (* (- y x) z) t)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
38.0ms
(+ (* 1 (/ (* (- y x) z) t)) x)
43.0ms
(* (- y x) z)
33.0ms
(/ (* (- y x) z) t)

series180.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (* 1 (/ (* (- y x) z) t)) x)
47.0ms
(* (- y x) z)
63.0ms
(/ (* (- y x) z) t)

simplify2.2s

Counts
73 → 73
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0120776
1309705
21058611
done5000590

prune309.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes234.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0913
done913

end0.0ms

sample1.3s

Algorithm
intervals
Results
542.0ms10621×body80valid