Details

Time bar (total: 21.3s)

sample33.0ms

Algorithm
intervals
Results
12.0ms276×body80valid

simplify3.9s

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.1b
(fma (/ (- z t) (- z a)) y x)

rewrite29.0ms

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:
26.0ms
(/ (- z t) (- z a))
0.0ms
(fma (/ (- z t) (- z a)) y x)

series193.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (- z t) (- z a))
119.0ms
(fma (/ (- z t) (- z a)) y x)

simplify2.6s

Counts
70 → 70
Iterations
IterNodes
done5000
34799
2831
1266
0113

prune465.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
1.1b
(fma (* (- z t) (/ 1 (- z a))) y x)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r* associate-*l*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
3 → 105
Calls
3 calls:
20.0ms
(/ 1 (- z a))
80.0ms
(* (- z t) (/ 1 (- z a)))
1.0ms
(fma (* (- z t) (/ 1 (- z a))) y x)

series251.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ 1 (- z a))
70.0ms
(* (- z t) (/ 1 (- z a)))
124.0ms
(fma (* (- z t) (/ 1 (- z a))) y x)

simplify4.8s

Counts
114 → 114
Iterations
IterNodes
done5001
22988
1360
0149

prune693.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
11.0b
(/ (* y (- z t)) (- z a))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* times-frac associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def flip3-- associate-*l* log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
36.0ms
(+ x (/ (* y (- z t)) (- z a)))
38.0ms
(* y (- z t))
47.0ms
(/ (* y (- z t)) (- z a))

series306.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(+ x (/ (* y (- z t)) (- z a)))
51.0ms
(* y (- z t))
113.0ms
(/ (* y (- z t)) (- z a))

simplify1.4s

Counts
103 → 103
Iterations
IterNodes
done5000
21994
1475
0182

prune552.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- z a) (- z t))))
0.0b
(/ (- z a) (- z t))
1.7b
(/ y (/ (- z a) (- z t)))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
198×*-un-lft-identity
196×add-sqr-sqrt
92×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 fma-def log1p-expm1-u
2×clear-num frac-2neg associate-/l/
1×+-commutative sum-log flip3-+ div-sub flip-+ distribute-lft-out
Counts
3 → 215
Calls
3 calls:
93.0ms
(+ x (/ y (/ (- z a) (- z t))))
35.0ms
(/ (- z a) (- z t))
27.0ms
(/ y (/ (- z a) (- z t)))

series456.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(+ x (/ y (/ (- z a) (- z t))))
88.0ms
(/ (- z a) (- z t))
229.0ms
(/ y (/ (- z a) (- z t)))

simplify2.0s

Counts
224 → 224
Iterations
IterNodes
done5000
24080
1817
0298

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes399.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample1.4s

Algorithm
intervals
Results
880.0ms8716×body80valid