Details

Time bar (total: 17.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms273×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
230164
369164
4180164
5515164
61743164
done5000164

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×prod-diff add-cube-cbrt
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*l/ associate-*r/
3×times-frac associate-/l*
2×expm1-log1p-u cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
33.0ms
(* (- y z) (- t z))
23.0ms
(/ x (* (- y z) (- t z)))

series234.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (- y z) (- t z))
189.0ms
(/ x (* (- y z) (- t z)))

simplify1.8s

Counts
91 → 91
Iterations

Useful iterations: done (1.8s)

IterNodesCost
017631548
143725724
2250722080
done500021840

prune419.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize40.0ms

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)))

rewrite80.0ms

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×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- div-inv flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
74.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt x)
223.0ms
(cbrt x)
264.0ms
(cbrt x)
211.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify2.8s

Counts
130 → 130
Iterations

Useful iterations: done (2.8s)

IterNodesCost
018444063
158040738
2375039694
done500034814

prune767.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 113
Calls
2 calls:
13.0ms
(/ x (- t z))
64.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series323.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ x (- t z))
283.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.1s

Counts
119 → 119
Iterations

Useful iterations: done (2.1s)

IterNodesCost
017832415
151129012
2259426069
done500225909

prune633.0ms

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))

rewrite54.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
11.0ms
(/ x (- y z))
28.0ms
(/ (/ x (- y z)) (- t z))

series216.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (- y z))
183.0ms
(/ (/ x (- y z)) (- t z))

simplify1.9s

Counts
195 → 195
Iterations

Useful iterations: done (1.9s)

IterNodesCost
026877106
166070999
2252970478
done500170358

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes536.0ms

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

sample735.0ms

Algorithm
intervals
Results
367.0ms8416×body80valid