Details

Time bar (total: 22.6s)

sample25.0ms

Algorithm
intervals
Results
10.0ms275×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
103638
91242
8657
7374
6278
5190
4116
361
233
118
010

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.0b
(fma (/ (- z t) (- z a)) y x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
22.0ms
(/ (- z t) (- z a))
1.0ms
(fma (/ (- z t) (- z a)) y x)

series219.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ (- z t) (- z a))
132.0ms
(fma (/ (- z t) (- z a)) y x)

simplify2.1s

Counts
70 → 70
Iterations
IterNodes
done5000
34799
2831
1266
0113

prune570.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ (- z a) (- z t))) x)
0.0b
(/ (- z a) (- z t))
1.5b
(/ y (/ (- z a) (- z t)))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
322×*-un-lft-identity
320×add-sqr-sqrt
156×add-cube-cbrt
98×fma-def
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
18×associate-/r/
10×add-cbrt-cube add-exp-log div-inv
9×flip3-- flip--
8×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg associate-/l/
1×+-commutative sum-log flip3-+ div-sub flip-+ distribute-lft-out
Counts
3 → 310
Calls
3 calls:
145.0ms
(+ (/ y (/ (- z a) (- z t))) x)
34.0ms
(/ (- z a) (- z t))
37.0ms
(/ y (/ (- z a) (- z t)))

series395.0ms

Counts
3 → 9
Calls
3 calls:
173.0ms
(+ (/ y (/ (- z a) (- z t))) x)
57.0ms
(/ (- z a) (- z t))
165.0ms
(/ y (/ (- z a) (- z t)))

simplify1.6s

Counts
319 → 319
Iterations
IterNodes
done5001
24067
1817
0298

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- z a))
0.0b
(/ t (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
1.0b
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-cbrt-cube add-exp-log
6×associate-/l* add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
11.0ms
(/ z (- z a))
10.0ms
(/ t (- z a))
128.0ms
(- (/ z (- z a)) (/ t (- z a)))
1.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series454.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ z (- z a))
50.0ms
(/ t (- z a))
170.0ms
(- (/ z (- z a)) (/ t (- z a)))
166.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify1.9s

Counts
593 → 593
Iterations
IterNodes
done5000
23818
11279
0569

prune3.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- z a))
0.0b
(+ (* (/ y (- z a)) (- z t)) x)
10.5b
(* (/ y (- z a)) (- z t))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r* associate-*r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ *-commutative flip-+
Counts
3 → 145
Calls
3 calls:
19.0ms
(/ y (- z a))
21.0ms
(+ (* (/ y (- z a)) (- z t)) x)
58.0ms
(* (/ y (- z a)) (- z t))

series393.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ y (- z a))
172.0ms
(+ (* (/ y (- z a)) (- z t)) x)
179.0ms
(* (/ y (- z a)) (- z t))

simplify2.9s

Counts
154 → 154
Iterations
IterNodes
done5000
23144
1631
0226

prune862.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes463.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample870.0ms

Algorithm
intervals
Results
488.0ms8710×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid