Details

Time bar (total: 21.8s)

sample34.0ms

Algorithm
intervals
Results
14.0ms273×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (75.0ms)

IterNodesCost
01213
12513
25813
310813
426512
595912
6433112
done500012

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (+ (- t z) 1.0))
0.4b
(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite84.0ms

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:
78.0ms
(/ (- z y) (+ (- t z) 1.0))
0.0ms
(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series213.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (- z y) (+ (- t z) 1.0))
131.0ms
(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify808.0ms

Counts
70 → 70
Iterations

Useful iterations: done (804.0ms)

IterNodesCost
01161048
12841006
21028942
done5001936

prune235.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)
8.4b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite458.0ms

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-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/r/ associate-/l/
3×pow1 expm1-log1p-u fma-neg div-sub log1p-expm1-u
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log flip-+ associate--r-
Counts
3 → 501
Calls
3 calls:
204.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
117.0ms
(/ (+ (- t z) 1.0) a)
79.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series384.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
53.0ms
(/ (+ (- t z) 1.0) a)
195.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.1s

Counts
510 → 510
Iterations

Useful iterations: done (1.0s)

IterNodesCost
065929857
1193627946
done500122122

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b
(/ (- y z) (+ (- t z) 1.0))
2.0b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite887.0ms

Algorithm
rewrite-expression-head
Rules
4100×times-frac
3786×*-un-lft-identity
2452×add-sqr-sqrt
1885×add-cube-cbrt
1224×prod-diff
543×distribute-lft-out--
542×distribute-lft-out
278×difference-of-squares
183×div-inv
112×associate-/r/
54×flip3-+ flip-+
36×associate-/l*
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u associate-/l/
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip--
1×sub-neg diff-log associate--r-
Counts
3 → 1778
Calls
3 calls:
386.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
81.0ms
(/ (- y z) (+ (- t z) 1.0))
110.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series895.0ms

Counts
3 → 9
Calls
3 calls:
167.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
97.0ms
(/ (- y z) (+ (- t z) 1.0))
631.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify1.7s

Counts
1787 → 1787
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02151142625
done5001133220

prune6.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (- y z) (/ 1 (/ (+ (- t z) 1.0) a))))
0.0b
(/ (+ (- t z) 1.0) a)
0.7b
(/ 1 (/ (+ (- t z) 1.0) a))
7.9b
(* (- y z) (/ 1 (/ (+ (- t z) 1.0) a)))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
249×*-un-lft-identity
240×times-frac
136×add-sqr-sqrt
120×add-cube-cbrt
62×associate-*r*
50×distribute-lft-out
36×add-exp-log
26×distribute-lft-out--
22×associate-/r*
20×add-cbrt-cube
15×div-exp
10×div-inv
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×associate-*l* unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
3×flip3-- fma-neg prod-diff flip-- cbrt-unprod
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ associate-/l/
1×associate-+l- sub-neg pow-flip flip3-+ diff-log div-sub associate-*r/ pow-prod-down un-div-inv *-commutative flip-+ inv-pow difference-of-squares
Counts
4 → 261
Calls
4 calls:
6.0ms
(- x (* (- y z) (/ 1 (/ (+ (- t z) 1.0) a))))
76.0ms
(/ (+ (- t z) 1.0) a)
50.0ms
(/ 1 (/ (+ (- t z) 1.0) a))
164.0ms
(* (- y z) (/ 1 (/ (+ (- t z) 1.0) a)))

series488.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(- x (* (- y z) (/ 1 (/ (+ (- t z) 1.0) a))))
54.0ms
(/ (+ (- t z) 1.0) a)
122.0ms
(/ 1 (/ (+ (- t z) 1.0) a))
173.0ms
(* (- y z) (/ 1 (/ (+ (- t z) 1.0) a)))

simplify696.0ms

Counts
273 → 273
Iterations

Useful iterations: done (683.0ms)

IterNodesCost
03164545
18933836
done50013492

prune683.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11212
done1212

end0.0ms

sample1.2s

Algorithm
intervals
Results
612.0ms8509×body80valid