Details

Time bar (total: 45.8s)

sample53.0ms

Algorithm
intervals
Results
22.0ms275×body80valid

simplify7.3s

Counts
1 → 1
Iterations
IterNodes
done5000
94400
82954
72148
61264
5556
4207
3103
258
125
012

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (+ (- t z) 1.0))
0.5b
(fma (/ (- z y) (+ (- t z) 1.0)) a x)

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out distribute-lft-out--
6×difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
302.0ms
(/ (- z y) (+ (- t z) 1.0))
1.0ms
(fma (/ (- z y) (+ (- t z) 1.0)) a x)

series739.0ms

Counts
2 → 6
Calls
2 calls:
236.0ms
(/ (- z y) (+ (- t z) 1.0))
503.0ms
(fma (/ (- z y) (+ (- t z) 1.0)) a x)

simplify5.9s

Counts
70 → 70
Iterations
IterNodes
done5007
32882
2746
1268
0111

prune844.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
0.0b
(/ z (+ (- t z) 1.0))
0.0b
(/ y (+ (- t z) 1.0))
0.5b
(fma (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) a x)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
1156×*-un-lft-identity
701×times-frac
441×prod-diff
425×add-sqr-sqrt
413×add-cube-cbrt
286×distribute-lft-out
155×distribute-lft-out--
94×associate-/r/
47×flip3-+ flip-+ div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u difference-of-squares
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- fma-udef sub-div
Counts
4 → 585
Calls
4 calls:
695.0ms
(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
79.0ms
(/ z (+ (- t z) 1.0))
78.0ms
(/ y (+ (- t z) 1.0))
1.0ms
(fma (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) a x)

series1.3s

Counts
4 → 12
Calls
4 calls:
477.0ms
(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
180.0ms
(/ z (+ (- t z) 1.0))
128.0ms
(/ y (+ (- t z) 1.0))
555.0ms
(fma (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) a x)

simplify8.7s

Counts
597 → 597
Iterations
IterNodes
done5000
22659
11067
0460

prune7.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
7.2b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 179
Calls
2 calls:
146.0ms
(/ (+ (- t z) 1.0) a)
121.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series379.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ (+ (- t z) 1.0) a)
302.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify4.2s

Counts
185 → 185
Iterations
IterNodes
done5000
22271
1697
0230

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 1 expressions with local error:

6.8b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
21×associate-*r*
18×add-sqr-sqrt
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube distribute-lft-out
5×associate-*l*
4×distribute-lft-out--
3×pow1
2×frac-times flip3-- associate-*l/ prod-exp associate-/r/ flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u flip3-+ associate-*r/ div-exp pow-prod-down *-commutative flip-+ log1p-expm1-u div-inv add-log-exp difference-of-squares
Counts
1 → 48
Calls
1 calls:
236.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series188.0ms

Counts
1 → 3
Calls
1 calls:
187.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify2.7s

Counts
51 → 51
Iterations
IterNodes
done5003
21178
1329
0116

prune471.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes821.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample1.4s

Algorithm
intervals
Results
907.0ms8498×body80valid