Details

Time bar (total: 16.9s)

sample30.0ms

Algorithm
intervals
Results
15.0ms273×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
230164
365164
4156164
5414164
61407164
done5000164

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
5.0b
(/ x (* (- y z) (- t z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*l/ associate-*r/
3×times-frac associate-/l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
46.0ms
(* (- y z) (- t z))
16.0ms
(/ x (* (- y z) (- t z)))

series279.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (- y z) (- t z))
219.0ms
(/ x (* (- y z) (- t z)))

simplify1.3s

Counts
69 → 69
Iterations

Useful iterations: done (1.3s)

IterNodesCost
012419928
131215903
2165315703
done500015463

prune493.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- div-inv flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
71.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt x)
277.0ms
(cbrt x)
273.0ms
(cbrt x)
203.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify4.0s

Counts
122 → 122
Iterations

Useful iterations: done (4.0s)

IterNodesCost
018042289
157538989
2395437945
done500233665

prune700.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
2.0b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
26×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×div-exp
8×prod-exp
6×associate-/r/ unswap-sqr
5×cbrt-undiv associate-/r*
4×pow1 cbrt-unprod
3×flip3-- div-inv flip-- associate-/l*
2×rec-exp 1-exp add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 109
Calls
2 calls:
22.0ms
(/ x (- t z))
92.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series349.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ x (- t z))
308.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.5s

Counts
115 → 115
Iterations

Useful iterations: done (2.5s)

IterNodesCost
017431519
150628141
2284325280
done500024960

prune505.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.9b
(/ (/ x (- y z)) (- t z))

rewrite51.0ms

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-cbrt-cube add-exp-log
8×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
9.0ms
(/ x (- y z))
28.0ms
(/ (/ x (- y z)) (- t z))

series197.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ x (- y z))
156.0ms
(/ (/ x (- y z)) (- t z))

simplify1.7s

Counts
191 → 191
Iterations

Useful iterations: done (1.7s)

IterNodesCost
026476292
165270335
2249669814
done500069694

prune889.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes468.0ms

Accuracy

69.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
016506
120506
done20506

end0.0ms

sample605.0ms

Algorithm
intervals
Results
313.0ms8416×body80valid