Details

Time bar (total: 18.1s)

sample24.0ms

Algorithm
intervals
Results
9.0ms276×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3699
41809
55179
616989
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.0b
(/ x (* (- y z) (- t z)))

rewrite105.0ms

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:
74.0ms
(* (- y z) (- t z))
25.0ms
(/ x (* (- y z) (- t z)))

series257.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (- y z) (- t z))
194.0ms
(/ x (* (- y z) (- t z)))

simplify1.6s

Counts
91 → 91
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01761460
14371281
225201105
done50011077

prune318.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite143.0ms

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)
2.0ms
(cbrt x)
133.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt x)
276.0ms
(cbrt x)
294.0ms
(cbrt x)
280.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify2.8s

Counts
130 → 130
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01841873
15811804
237001442
done50001303

prune530.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.1b
(/ (/ x (- y z)) (- t z))

rewrite93.0ms

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:
13.0ms
(/ x (- y z))
63.0ms
(/ (/ x (- y z)) (- t z))

series271.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ x (- y z))
209.0ms
(/ (/ x (- y z)) (- t z))

simplify1.6s

Counts
195 → 195
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02683384
16603198
225573128
done50003122

prune833.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.0b
(/ 1 (- t z))
2.1b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite97.0ms

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/ un-div-inv *-commutative inv-pow
Counts
3 → 157
Calls
3 calls:
12.0ms
(/ x (- y z))
13.0ms
(/ 1 (- t z))
66.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series276.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ x (- y z))
53.0ms
(/ 1 (- t z))
172.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify3.1s

Counts
166 → 166
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02041932
15711745
231111512
done50011504

prune544.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11216
done1216

end0.0ms

sample1.1s

Algorithm
intervals
Results
540.0ms8474×body80valid