Details

Time bar (total: 14.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3679
41469
52869
64629
77379
810979
914499
1015179
1115219
done15219

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
20.0ms
(* (- y z) (- t z))
13.0ms
(/ x (* (- y z) (- t z)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- y z) (- t z))
140.0ms
(/ x (* (- y z) (- t z)))

simplify837.0ms

Counts
91 → 91
Iterations

Useful iterations: done (834.0ms)

IterNodesCost
01761460
13851275
214861097
done50011079

prune221.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite56.0ms

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-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
49.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series762.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt x)
199.0ms
(cbrt x)
195.0ms
(cbrt x)
168.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify983.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (359.0ms)

IterNodesCost
01841873
15421802
221761388
done50001388

prune432.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.8b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite56.0ms

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:
6.0ms
(/ x (- t z))
6.0ms
(/ 1 (- y z))
38.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series295.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ x (- t z))
36.0ms
(/ 1 (- y z))
229.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify4.3s

Counts
165 → 165
Iterations

Useful iterations: 2 (329.0ms)

IterNodesCost
02041932
15291723
214221513
349211513
done50001513

prune358.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.8b
(/ (/ x (- t z)) (- y z))

rewrite37.0ms

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:
5.0ms
(/ x (- t z))
20.0ms
(/ (/ x (- t z)) (- y z))

series169.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (- t z))
133.0ms
(/ (/ x (- t z)) (- y z))

simplify1.0s

Counts
195 → 195
Iterations

Useful iterations: 2 (279.0ms)

IterNodesCost
02683384
16453198
218643122
done50003122

prune452.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

52.8% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02149
12349
done2349

end0.0ms

sample424.0ms

Algorithm
intervals
Results
218.0ms8428×body80valid