Details

Time bar (total: 9.0s)

sample37.0ms

Algorithm
intervals
Results
15.0ms285×body80valid

simplify402.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize18.0ms

Local error

Found 1 expressions with local error:

11.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
36.0ms
(/ (- x (* y z)) (- t (* a z)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.1s

Counts
35 → 35

prune116.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.7b
(/ (- t (* a z)) (- x (* y z)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 116
Calls
2 calls:
32.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
31.0ms
(/ (- t (* a z)) (- x (* y z)))

series388.0ms

Counts
2 → 6
Calls
2 calls:
292.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
95.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify864.0ms

Counts
122 → 122

prune372.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (- t (* a z)))
10.6b
(* (/ 1 (- t (* a z))) (- x (* y z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*l*
9×add-cbrt-cube
5×pow1
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*r/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
15.0ms
(/ 1 (- t (* a z)))
44.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

series329.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ 1 (- t (* a z)))
256.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

simplify718.0ms

Counts
84 → 84

prune234.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 10.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (- x (* y z)))
0.6b
(/ 1 (- t (* a z)))
10.3b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
243×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
51×add-exp-log
36×div-exp
35×div-inv
34×flip3-- flip--
21×associate-/r* associate-/l*
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×frac-2neg clear-num add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 353
Calls
3 calls:
12.0ms
(/ 1 (- x (* y z)))
15.0ms
(/ 1 (- t (* a z)))
53.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series425.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ 1 (- x (* y z)))
76.0ms
(/ 1 (- t (* a z)))
284.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify746.0ms

Counts
362 → 362

prune1.1s

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 10.9b

regimes433.0ms

Accuracy

0% (0.3b remaining)

Error of 10.8b against oracle of 10.5b and baseline of 10.8b

bsearch0.0ms

simplify366.0ms

end0.0ms

sample859.0ms

Algorithm
intervals
Results
415.0ms8725×body80valid