Details

Time bar (total: 13.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms294×body80valid

simplify129.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4697
5937
61087
71107
done1107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.3b
(/ (* x (- y z)) y)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
26.0ms
(* x (- y z))
30.0ms
(/ (* x (- y z)) y)

series123.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* x (- y z))
72.0ms
(/ (* x (- y z)) y)

simplify3.6s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01401001
1300814
2850666
34488624
done5000624

prune769.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
1.5b
(* x (/ (- y z) y))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
36.0ms
(/ (- y z) y)
60.0ms
(* x (/ (- y z) y))

series108.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (- y z) y)
67.0ms
(* x (/ (- y z) y))

simplify2.6s

Counts
86 → 86
Iterations

Useful iterations: 2 (227.0ms)

IterNodesCost
0115841
1265796
2773731
32613731
done5000731

prune323.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1 (/ z y))
1.5b
(* x (* 1 (- 1 (/ z y))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
195×prod-diff
182×add-sqr-sqrt
178×*-un-lft-identity
174×add-cube-cbrt
164×distribute-rgt-in distribute-lft-in
137×times-frac
15×div-inv
9×add-exp-log
7×pow1 add-cbrt-cube
5×sub-neg prod-exp
4×associate-*r/ add-log-exp difference-of-squares
3×fma-neg associate-*l* pow-prod-down cbrt-unprod
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u
1×diff-log 1-exp associate-*r* *-commutative distribute-lft-out--
Counts
2 → 248
Calls
2 calls:
17.0ms
(- 1 (/ z y))
107.0ms
(* x (* 1 (- 1 (/ z y))))

series66.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- 1 (/ z y))
44.0ms
(* x (* 1 (- 1 (/ z y))))

simplify2.1s

Counts
254 → 254
Iterations

Useful iterations: done (2.1s)

IterNodesCost
05169520
18976962
217254763
done50003728

prune165.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.5b
(/ x (/ y (- y z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
22.0ms
(/ y (- y z))
20.0ms
(/ x (/ y (- y z)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ y (- y z))
95.0ms
(/ x (/ y (- y z)))

simplify1.6s

Counts
149 → 149
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02222078
14661939
216351867
done50001858

prune496.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

17.7% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.2b

bsearch23.0ms

Steps
ItersRangePoint
6
7.37838564378281e-301
5.698806164872307e-300
1.5039508245390077e-300
0
-1.1680172252431395e-122
-1.1611631838346019e-122
-1.1645902045388707e-122

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01733
12523
done2523

end0.0ms

sample901.0ms

Algorithm
intervals
Results
566.0ms9541×body80valid