Details

Time bar (total: 17.5s)

sample33.0ms

Algorithm
intervals
Results
13.0ms265×body80valid

simplify4.5s

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: 5.9b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
5.9b
(/ x (* (- y z) (- t z)))

rewrite94.0ms

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:
62.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

series214.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- y z) (- t z))
178.0ms
(/ x (* (- y z) (- t z)))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01761460
13841275
213771097
done50011069

prune280.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.2b
(/ (/ x (- y z)) (- t z))

rewrite74.0ms

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))
51.0ms
(/ (/ x (- y z)) (- t z))

series212.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ x (- y z))
171.0ms
(/ (/ x (- y z)) (- t z))

simplify1.3s

Counts
195 → 195
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
02683384
16423198
216673122
done50003122

prune657.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.6b
(/ 1 (/ (- t z) (/ x (- y z))))
1.2b
(/ (- t z) (/ x (- y z)))

rewrite196.0ms

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:
22.0ms
(/ x (- y z))
65.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
44.0ms
(/ (- t z) (/ x (- y z)))

series459.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ x (- y z))
323.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
88.0ms
(/ (- t z) (/ x (- y z)))

simplify3.0s

Counts
669 → 669
Iterations

Useful iterations: done (3.0s)

IterNodesCost
075315185
1181813033
2473712181
done500012178

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(/ (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y z))) (- t z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-cbrt-cube
13×add-sqr-sqrt *-un-lft-identity
9×cbrt-prod add-cube-cbrt
7×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
5×times-frac associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×flip3-- frac-2neg associate-*r/ clear-num flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
49.0ms
(/ (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y z))) (- t z))

series1.1s

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt x)
269.0ms
(cbrt x)
271.0ms
(cbrt x)
209.0ms
(/ (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y z))) (- t z))

simplify1.4s

Counts
87 → 87
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01151010
1300977
21393695
done5001587

prune262.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (2.0b 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

sample868.0ms

Algorithm
intervals
Results
356.0ms8414×body80valid