Details

Time bar (total: 14.4s)

sample23.0ms

Algorithm
intervals
Results
9.0ms266×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3699
41809
55179
616989
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.4b
(/ x (* (- y z) (- t z)))

rewrite97.0ms

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:
58.0ms
(* (- y z) (- t z))
36.0ms
(/ x (* (- y z) (- t z)))

series222.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (- y z) (- t z))
177.0ms
(/ x (* (- y z) (- t z)))

simplify1.5s

Counts
91 → 91
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01761460
14371281
225201105
done50011077

prune317.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
0.8b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite146.0ms

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/ *-commutative inv-pow
Counts
3 → 156
Calls
3 calls:
13.0ms
(/ 1 (- y z))
11.0ms
(/ x (- t z))
114.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series476.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ 1 (- y z))
54.0ms
(/ x (- t z))
358.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.3s

Counts
165 → 165
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02041932
15731785
229481531
done50011523

prune476.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
0.7b
(/ (/ x (- t z)) (- y z))

rewrite86.0ms

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:
21.0ms
(/ x (- t z))
44.0ms
(/ (/ x (- t z)) (- y z))

series209.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ x (- t z))
165.0ms
(/ (/ x (- t z)) (- y z))

simplify1.4s

Counts
195 → 195
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02683384
16603198
225573128
done50003122

prune592.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:
12.0ms
(/ x (- y z))
37.0ms
(/ (/ x (- y z)) (- t z))

series245.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ x (- y z))
196.0ms
(/ (/ x (- y z)) (- t z))

simplify1.8s

Counts
195 → 195
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02683384
16603198
225573128
done50003122

prune611.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample910.0ms

Algorithm
intervals
Results
376.0ms8420×body80valid