Details

Time bar (total: 23.5s)

sample42.0ms

Algorithm
intervals
Results
17.0ms268×body80valid

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5009
94334
83012
72159
61263
5559
4207
3103
258
125
012

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- (+ 1.0 t) z))
0.1b
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
41×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
15×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×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 → 70
Calls
2 calls:
48.0ms
(/ (- z y) (- (+ 1.0 t) z))
0.0ms
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

series187.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- z y) (- (+ 1.0 t) z))
119.0ms
(fma (/ (- z y) (- (+ 1.0 t) z)) a x)

simplify2.1s

Counts
76 → 76
Iterations
IterNodes
done5001
33509
2844
1298
0122

prune552.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- (+ 1.0 t) z))
0.1b
(fma (* (- z y) (/ 1 (- (+ 1.0 t) z))) a x)
0.2b
(* (- z y) (/ 1 (- (+ 1.0 t) z)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
48×add-sqr-sqrt
38×times-frac
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log
15×distribute-lft-out--
10×add-cbrt-cube
8×difference-of-squares
7×distribute-lft-out
6×pow1 associate-/r*
5×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 → 112
Calls
3 calls:
43.0ms
(/ 1 (- (+ 1.0 t) z))
1.0ms
(fma (* (- z y) (/ 1 (- (+ 1.0 t) z))) a x)
127.0ms
(* (- z y) (/ 1 (- (+ 1.0 t) z)))

series261.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(/ 1 (- (+ 1.0 t) z))
123.0ms
(fma (* (- z y) (/ 1 (- (+ 1.0 t) z))) a x)
73.0ms
(* (- z y) (/ 1 (- (+ 1.0 t) z)))

simplify2.9s

Counts
121 → 121
Iterations
IterNodes
done5000
34381
21414
1399
0161

prune873.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ a (/ (+ t (- 1.0 z)) (- z y))) x)
0.0b
(/ (+ t (- 1.0 z)) (- z y))
0.7b
(/ a (/ (+ t (- 1.0 z)) (- z y)))

rewrite469.0ms

Algorithm
rewrite-expression-head
Rules
445×*-un-lft-identity
386×times-frac
238×add-sqr-sqrt
156×add-cube-cbrt
98×fma-def
83×distribute-lft-out
82×distribute-lft-out--
41×difference-of-squares
36×associate-/r*
18×associate-/r/
10×add-cbrt-cube add-exp-log div-inv
8×flip3-- flip-- associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative associate-+r- sum-log div-sub
Counts
3 → 310
Calls
3 calls:
267.0ms
(+ (/ a (/ (+ t (- 1.0 z)) (- z y))) x)
92.0ms
(/ (+ t (- 1.0 z)) (- z y))
73.0ms
(/ a (/ (+ t (- 1.0 z)) (- z y)))

series626.0ms

Counts
3 → 9
Calls
3 calls:
338.0ms
(+ (/ a (/ (+ t (- 1.0 z)) (- z y))) x)
95.0ms
(/ (+ t (- 1.0 z)) (- z y))
192.0ms
(/ a (/ (+ t (- 1.0 z)) (- z y)))

simplify2.4s

Counts
319 → 319
Iterations
IterNodes
done5002
22614
1745
0280

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(/ (+ (- t z) 1.0) a)
9.2b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
874×*-un-lft-identity
713×times-frac
546×add-sqr-sqrt
383×add-cube-cbrt
300×prod-diff
145×distribute-lft-out--
134×distribute-lft-out
80×difference-of-squares
26×div-inv
22×associate-/r*
10×add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/r/ associate-/l/
3×expm1-log1p-u pow1 fma-neg div-sub log1p-expm1-u
2×clear-num frac-2neg flip3-- flip--
1×sub-neg flip3-+ diff-log associate-+l- flip-+ associate--r-
Counts
3 → 501
Calls
3 calls:
165.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
65.0ms
(/ (+ (- t z) 1.0) a)
84.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series422.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
49.0ms
(/ (+ (- t z) 1.0) a)
212.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.3s

Counts
510 → 510
Iterations
IterNodes
done5001
11931
0661

prune3.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes584.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8458×body80valid
0.0ms1×body640valid
0.0ms1×body320valid