Details

Time bar (total: 16.7s)

sample26.0ms

Algorithm
intervals
Results
10.0ms269×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3699
41809
55179
616989
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.8b
(/ x (* (- y z) (- t z)))

rewrite100.0ms

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:
78.0ms
(* (- y z) (- t z))
19.0ms
(/ x (* (- y z) (- t z)))

series240.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (- y z) (- t z))
179.0ms
(/ x (* (- y z) (- t z)))

simplify1.7s

Counts
91 → 91
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01761460
14371281
225201105
done50011077

prune303.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.3b
(/ (/ x (- y z)) (- t z))

rewrite83.0ms

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))
52.0ms
(/ (/ x (- y z)) (- t z))

series234.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ x (- y z))
191.0ms
(/ (/ x (- y z)) (- t z))

simplify1.7s

Counts
195 → 195
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02683384
16603198
225573128
done50003122

prune742.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite125.0ms

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:
15.0ms
(/ 1 (- y z))
16.0ms
(/ x (- t z))
87.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series504.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ 1 (- y z))
56.0ms
(/ x (- t z))
381.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify3.2s

Counts
165 → 165
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02041932
15731785
229481531
done50011523

prune599.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ (- t z) x)
0.5b
(/ 1 (/ (- t z) x))
1.8b
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
247×add-sqr-sqrt
211×*-un-lft-identity
136×add-cube-cbrt
104×add-exp-log
62×associate-*r*
52×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
28×prod-exp
27×associate-/r*
21×associate-*l*
18×rec-exp 1-exp
15×unswap-sqr
14×cbrt-undiv
12×div-inv
11×associate-/l*
10×pow1
6×associate-/r/ cbrt-unprod
4×expm1-log1p-u pow-flip log1p-expm1-u inv-pow add-log-exp
3×flip3-- frac-2neg pow-prod-down clear-num flip--
2×associate-/l/
1×frac-times div-sub associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
4 → 334
Calls
4 calls:
13.0ms
(/ 1 (- y z))
31.0ms
(/ (- t z) x)
27.0ms
(/ 1 (/ (- t z) x))
115.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ 1 (- y z))
43.0ms
(/ (- t z) x)
95.0ms
(/ 1 (/ (- t z) x))
905.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify791.0ms

Counts
346 → 346
Iterations

Useful iterations: done (782.0ms)

IterNodesCost
03785091
112554291
done50013881

prune780.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes129.0ms

Accuracy

47.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
02151
12549
done2549

end0.0ms

sample1.0s

Algorithm
intervals
Results
413.0ms8447×body80valid