Details

Time bar (total: 20.2s)

sample25.0ms

Algorithm
intervals
Results
10.0ms281×body80valid

simplify4.3s

Counts
1 → 1
Iterations
IterNodes
done5000
224995
214713
204418
194136
183837
173514
163152
152742
142228
131882
121295
11753
10441
9341
8282
7255
6219
5152
495
358
237
121
010

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.8b
(fma (/ (- z t) (- z a)) y x)

rewrite22.0ms

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:
20.0ms
(/ (- z t) (- z a))
0.0ms
(fma (/ (- z t) (- z a)) y x)

series165.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- z t) (- z a))
98.0ms
(fma (/ (- z t) (- z a)) y x)

simplify2.2s

Counts
70 → 70
Iterations
IterNodes
done5022
32208
2650
1266
0113

prune425.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.2b
(/ 1 (/ (- z a) (- z t)))
0.8b
(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- div-inv flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×div-sub fma-udef pow-flip inv-pow
Counts
3 → 214
Calls
3 calls:
36.0ms
(/ (- z a) (- z t))
22.0ms
(/ 1 (/ (- z a) (- z t)))
0.0ms
(fma (/ 1 (/ (- z a) (- z t))) y x)

series399.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ (- z a) (- z t))
139.0ms
(/ 1 (/ (- z a) (- z t)))
167.0ms
(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify1.6s

Counts
223 → 223
Iterations
IterNodes
done5000
21845
1700
0269

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ (- z a) (- z t))) x)
0.0b
(/ (- z a) (- z t))
1.3b
(/ y (/ (- z a) (- z t)))

rewrite259.0ms

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:
169.0ms
(+ (/ y (/ (- z a) (- z t))) x)
19.0ms
(/ (- z a) (- z t))
33.0ms
(/ y (/ (- z a) (- z t)))

series422.0ms

Counts
3 → 9
Calls
3 calls:
155.0ms
(+ (/ y (/ (- z a) (- z t))) x)
77.0ms
(/ (- z a) (- z t))
191.0ms
(/ y (/ (- z a) (- z t)))

simplify2.3s

Counts
319 → 319
Iterations
IterNodes
done5002
22978
1811
0298

prune2.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (/ (- z t) (- z a))) x)
0.0b
(/ (- z t) (- z a))
1.3b
(* y (/ (- z t) (- z a)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*l* log1p-expm1-u flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 120
Calls
3 calls:
30.0ms
(+ (* y (/ (- z t) (- z a))) x)
39.0ms
(/ (- z t) (- z a))
78.0ms
(* y (/ (- z t) (- z a)))

series268.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(+ (* y (/ (- z t) (- z a))) x)
59.0ms
(/ (- z t) (- z a))
93.0ms
(* y (/ (- z t) (- z a)))

simplify1.9s

Counts
129 → 129
Iterations
IterNodes
done5000
21407
1456
0168

prune922.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes629.0ms

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
done12
112
010

end0.0ms

sample1.0s

Algorithm
intervals
Results
507.0ms8715×body80valid
0.0ms2×body320valid
0.0ms1×body1280valid