Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
6.0ms303×body80valid

simplify158.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2443
3703
41003
51173
64203
729763
850013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.6b
(/ (* x (- y z)) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
53×*-un-lft-identity
43×add-cube-cbrt
42×times-frac
25×associate-*r*
18×prod-diff
15×associate-*l*
14×associate-/l*
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×*-commutative distribute-lft-out-- difference-of-squares unswap-sqr
4×pow1 associate-*r/
3×associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num div-inv
Counts
2 → 123
Calls
2 calls:
7.0ms
(* x (- y z))
12.0ms
(/ (* x (- y z)) y)

series103.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (- y z))
62.0ms
(/ (* x (- y z)) y)

simplify114.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
0462851
12048696
25001696

prune162.0ms

Filtered
129 candidates to 80 candidates (62.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1236129
Fresh000
Picked101
Done000
Total1246130

Merged error: 0b

Counts
130 → 6

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.4b
(/ (* x 1) (/ y (- y z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
366×add-sqr-sqrt
322×*-un-lft-identity
206×add-cube-cbrt
66×associate-*r* associate-*l*
47×distribute-lft-out-- difference-of-squares
44×unswap-sqr
41×associate-/r/
31×associate-/r*
22×*-commutative
21×add-exp-log
19×associate-/l*
16×add-cbrt-cube div-inv
15×flip3-- flip--
10×div-exp
7×cbrt-undiv
4×prod-exp
3×frac-2neg clear-num
2×pow1 expm1-log1p-u 1-exp cbrt-unprod log1p-expm1-u add-log-exp
Counts
2 → 379
Calls
2 calls:
6.0ms
(/ y (- y z))
20.0ms
(/ (* x 1) (/ y (- y z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ y (- y z))
68.0ms
(/ (* x 1) (/ y (- y z)))

simplify95.0ms

Algorithm
egg-herbie
Counts
385 → 385
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
013243427
150023177

prune349.0ms

Filtered
385 candidates to 156 candidates (40.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3814385
Fresh505
Picked011
Done000
Total3865391

Merged error: 0b

Counts
391 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
3.4b
(/ (* x 1) (* y (/ 1 (- y z))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
686×times-frac
586×add-sqr-sqrt
432×*-un-lft-identity
414×associate-*r*
280×add-cube-cbrt
144×associate-*l*
111×unswap-sqr
66×add-exp-log
51×distribute-lft-out-- difference-of-squares
48×*-commutative
47×associate-/r*
46×associate-/r/
31×add-cbrt-cube
26×prod-exp
25×div-exp
24×associate-/l*
22×associate-*r/
17×div-inv
16×flip3-- flip--
10×cbrt-undiv 1-exp
9×cbrt-unprod
6×pow1 clear-num un-div-inv
5×rec-exp
4×frac-2neg
3×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-flip pow-prod-down inv-pow
Counts
3 → 609
Calls
3 calls:
6.0ms
(/ 1 (- y z))
15.0ms
(* y (/ 1 (- y z)))
31.0ms
(/ (* x 1) (* y (/ 1 (- y z))))

series162.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ 1 (- y z))
47.0ms
(* y (/ 1 (- y z)))
70.0ms
(/ (* x 1) (* y (/ 1 (- y z))))

simplify150.0ms

Algorithm
egg-herbie
Counts
618 → 618
Iterations

Useful iterations: 1 (74.0ms)

IterNodesCost
021455572
150014749

prune481.0ms

Filtered
618 candidates to 213 candidates (34.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6171618
Fresh123
Picked011
Done011
Total6185623

Merged error: 0b

Counts
623 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
4.1b
(* (* x 1) (/ (- y z) y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
48×*-un-lft-identity
33×times-frac
26×add-cube-cbrt
22×associate-*r*
21×add-exp-log
16×associate-*l* add-cbrt-cube
13×associate-*r/
12×associate-/l* unswap-sqr
10×prod-exp
9×distribute-lft-out--
8×difference-of-squares
7×pow1
6×associate-/r* cbrt-unprod
4×div-exp associate-/l/
3×cbrt-undiv pow-prod-down clear-num un-div-inv
2×expm1-log1p-u flip3-- frac-2neg 1-exp *-commutative flip-- log1p-expm1-u div-inv add-log-exp
1×div-sub
Counts
2 → 116
Calls
2 calls:
7.0ms
(/ (- y z) y)
24.0ms
(* (* x 1) (/ (- y z) y))

series108.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y z) y)
61.0ms
(* (* x 1) (/ (- y z) y))

simplify102.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
0479586
11948531
25001528

prune160.0ms

Filtered
122 candidates to 78 candidates (63.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh022
Picked011
Done022
Total1225127

Merged error: 0b

Counts
127 → 5

regimes103.0ms

Accuracy

27.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 3.1b

bsearch69.0ms

Steps
ItersRangePoint
5
2.6276212851260176e-83
1.0150168798942371e-82
6.745538666331437e-83
9
-5.026326823296699e-198
-1.0393133709910035e-204
-2.0609508616102234e-199

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02411
12811
22811

end0.0ms

sample416.0ms

Algorithm
intervals
Results
223.0ms9615×body80valid