Details

Time bar (total: 14.5s)

sample39.0ms

Algorithm
intervals
Results
15.0ms263×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3699
41809
55179
616989
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite132.0ms

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:
89.0ms
(* (- y z) (- t z))
35.0ms
(/ x (* (- y z) (- t z)))

series309.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (- y z) (- t z))
263.0ms
(/ x (* (- y z) (- t z)))

simplify1.6s

Counts
91 → 91
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01761460
14371281
225201105
done50011077

prune335.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.4b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite175.0ms

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:
26.0ms
(/ 1 (- y z))
14.0ms
(/ x (- t z))
121.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series431.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ 1 (- y z))
37.0ms
(/ x (- t z))
348.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.3s

Counts
165 → 165
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02041932
15731785
229481531
done50011523

prune411.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.4b
(/ (/ x (- t z)) (- y z))

rewrite90.0ms

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:
23.0ms
(/ x (- t z))
51.0ms
(/ (/ x (- t z)) (- y z))

series177.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (- t z))
140.0ms
(/ (/ x (- t z)) (- y z))

simplify1.2s

Counts
195 → 195
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02683384
16603198
225573128
done50003122

prune487.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ 1 (/ (- t z) x))
1.4b
(/ (/ 1 (/ (- t z) x)) (- y z))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
1039×times-frac
661×add-sqr-sqrt *-un-lft-identity
403×add-cube-cbrt
129×distribute-lft-out-- difference-of-squares
65×associate-/l*
32×add-exp-log
30×div-inv
24×associate-/r*
21×div-exp
16×add-cbrt-cube
9×cbrt-undiv associate-/r/
4×rec-exp 1-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×flip3-- pow-flip flip-- associate-/l/ inv-pow
Counts
2 → 504
Calls
2 calls:
21.0ms
(/ 1 (/ (- t z) x))
55.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

series315.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ 1 (/ (- t z) x))
240.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

simplify1.0s

Counts
510 → 510
Iterations

Useful iterations: done (982.0ms)

IterNodesCost
065411788
118669959
done50009733

prune787.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes230.0ms

Accuracy

67.1% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01851
12539
22639
done2639

end0.0ms

sample844.0ms

Algorithm
intervals
Results
357.0ms8426×body80valid