Details

Time bar (total: 10.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms267×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3689
41519
52979
65239
78079
811689
917269
1019399
1119439
done19439

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.7b
(/ x (* (- y z) (- t z)))

rewrite31.0ms

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))
8.0ms
(/ x (* (- y z) (- t z)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- y z) (- t z))
125.0ms
(/ x (* (- y z) (- t z)))

simplify719.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
01761460
13881275
217561079
done50011079

prune192.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite54.0ms

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
(/ 1 (- y z))
5.0ms
(/ x (- t z))
36.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series456.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- y z))
32.0ms
(/ x (- t z))
389.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify905.0ms

Counts
165 → 165
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
02041932
15381723
220041513
done50011513

prune312.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

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:
6.0ms
(/ x (- t z))
16.0ms
(/ (/ x (- t z)) (- y z))

series147.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (- t z))
119.0ms
(/ (/ x (- t z)) (- y z))

simplify765.0ms

Counts
195 → 195
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
02683384
16513198
223983122
done50013122

prune510.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) x)
0.7b
(/ 1 (/ (- t z) x))
1.8b
(/ (/ 1 (/ (- t z) x)) (- y z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
1054×times-frac
680×add-sqr-sqrt *-un-lft-identity
414×add-cube-cbrt
133×distribute-lft-out-- difference-of-squares
70×associate-/l*
35×add-exp-log
31×div-inv
27×associate-/r*
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
9×associate-/r/
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
2×flip3-- flip--
1×pow-flip div-sub inv-pow
Counts
3 → 544
Calls
3 calls:
9.0ms
(/ (- t z) x)
9.0ms
(/ 1 (/ (- t z) x))
32.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

series314.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- t z) x)
67.0ms
(/ 1 (/ (- t z) x))
221.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

simplify690.0ms

Counts
553 → 553
Iterations

Useful iterations: done (671.0ms)

IterNodesCost
067512204
1178810723
done50019485

prune774.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01317
11615
done1615

end0.0ms

sample443.0ms

Algorithm
intervals
Results
219.0ms8484×body80valid