Details

Time bar (total: 27.0s)

sample27.0ms

Algorithm
intervals
Results
11.0ms288×body80valid

simplify114.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4697
5937
61087
71107
done1107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.0b
(/ (* x (- y z)) y)

rewrite72.0ms

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:
44.0ms
(* x (- y z))
25.0ms
(/ (* x (- y z)) y)

series150.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* x (- y z))
81.0ms
(/ (* x (- y z)) y)

simplify3.5s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01401001
1300814
2850666
34488624
done5000624

prune178.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.6b
(/ x (/ y (- y z)))

rewrite46.0ms

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:
16.0ms
(/ y (- y z))
22.0ms
(/ x (/ y (- y z)))

series183.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ y (- y z))
97.0ms
(/ x (/ y (- y z)))

simplify1.4s

Counts
149 → 149
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02222078
14661939
216351867
done50001858

prune513.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y) (- (- y z)))
3.6b
(/ x (/ (- y) (- (- y z))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
1138×times-frac
723×add-sqr-sqrt *-un-lft-identity
519×add-cube-cbrt
468×distribute-lft-neg-in distribute-rgt-neg-in
160×associate-/r*
122×neg-mul-1
102×distribute-lft-out-- difference-of-squares
13×associate-/l*
11×associate-/r/
10×distribute-neg-frac
9×add-exp-log add-cbrt-cube
6×div-inv
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg
Counts
2 → 786
Calls
2 calls:
34.0ms
(/ (- y) (- (- y z)))
61.0ms
(/ x (/ (- y) (- (- y z))))

series146.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- y) (- (- y z)))
79.0ms
(/ x (/ (- y) (- (- y z))))

simplify1.6s

Counts
792 → 792
Iterations

Useful iterations: done (1.6s)

IterNodesCost
093714259
1206513301
done500013009

prune2.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y) (- (- y z)))
0.2b
(/ 1 (/ (/ (- y) (- (- y z))) x))
3.6b
(/ (/ (- y) (- (- y z))) x)

rewrite683.0ms

Algorithm
rewrite-expression-head
Rules
5896×times-frac
3111×add-sqr-sqrt *-un-lft-identity
2427×add-cube-cbrt
1572×distribute-lft-neg-in distribute-rgt-neg-in
459×associate-/r*
410×neg-mul-1
342×distribute-lft-out-- difference-of-squares
159×associate-/l*
35×associate-/r/
34×distribute-neg-frac
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp div-sub distribute-frac-neg clear-num log1p-expm1-u add-log-exp
2×neg-sub0
1×pow-flip associate-/l/ inv-pow
Counts
3 → 2586
Calls
3 calls:
37.0ms
(/ (- y) (- (- y z)))
166.0ms
(/ 1 (/ (/ (- y) (- (- y z))) x))
85.0ms
(/ (/ (- y) (- (- y z))) x)

series350.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(/ (- y) (- (- y z)))
87.0ms
(/ 1 (/ (/ (- y) (- (- y z))) x))
149.0ms
(/ (/ (- y) (- (- y z))) x)

simplify3.4s

Counts
2595 → 2595
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0266658897
done500055863

prune11.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

47.1% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.4b

bsearch76.0ms

Steps
ItersRangePoint
8
8.666561730544872e-18
4.405667100367089e-14
2.7317275713955442e-15
5
-2.294626366488831e+97
-1.033466382081211e+97
-1.290655561206784e+97

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02131
12731
done2731

end0.0ms

sample985.0ms

Algorithm
intervals
Results
424.0ms9526×body80valid