Details

Time bar (total: 13.7s)

sample20.0ms

Algorithm
intervals
Results
7.0ms271×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3699
41809
53499
65769
79139
811229
914079
1014659
1114699
done14699

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.7b
(/ x (* (- y z) (- t z)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
39.0ms
(* (- y z) (- t z))
22.0ms
(/ x (* (- y z) (- t z)))

series183.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y z) (- t z))
146.0ms
(/ x (* (- y z) (- t z)))

simplify877.0ms

Counts
91 → 91
Iterations

Useful iterations: done (873.0ms)

IterNodesCost
01761460
13841275
213771097
done50011069

prune221.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.7b
(/ (/ x (- y z)) (- t z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
15.0ms
(/ x (- y z))
31.0ms
(/ (/ x (- y z)) (- t z))

series180.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (- y z))
145.0ms
(/ (/ x (- y z)) (- t z))

simplify1.0s

Counts
195 → 195
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
02683384
16423198
216673122
done50003122

prune510.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(/ x (- y z))
1.7b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 157
Calls
3 calls:
12.0ms
(/ 1 (- t z))
11.0ms
(/ x (- y z))
62.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series230.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ 1 (- t z))
35.0ms
(/ x (- y z))
149.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify2.1s

Counts
166 → 166
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
02041932
15131682
212551494
334061494
done50001494

prune361.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.4b
(/ 1 (/ (- t z) (/ x (- y z))))
1.6b
(/ (- t z) (/ x (- y z)))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
1260×times-frac
844×add-sqr-sqrt *-un-lft-identity
468×add-cube-cbrt
188×distribute-lft-out-- difference-of-squares
136×associate-/r*
60×associate-/r/
33×div-inv
31×add-exp-log
28×flip3-- flip--
19×div-exp add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 660
Calls
3 calls:
15.0ms
(/ x (- y z))
47.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
34.0ms
(/ (- t z) (/ x (- y z)))

series363.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ x (- y z))
261.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
68.0ms
(/ (- t z) (/ x (- y z)))

simplify2.1s

Counts
669 → 669
Iterations

Useful iterations: done (2.1s)

IterNodesCost
075315185
1181813033
2473712181
done500012178

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes154.0ms

Accuracy

33.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01953
12741
done2741

end0.0ms

sample510.0ms

Algorithm
intervals
Results
211.0ms8453×body80valid