Details

Time bar (total: 10.5s)

sample24.0ms

Algorithm
intervals
Results
12.0ms271×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

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: 2.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(/ (+ (- t z) 1.0) a)
10.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
203×times-frac
136×add-sqr-sqrt
87×add-cube-cbrt
44×distribute-lft-out
43×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 192
Calls
3 calls:
32.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms
(/ (+ (- t z) 1.0) a)
13.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series237.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
33.0ms
(/ (+ (- t z) 1.0) a)
120.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify73.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07071950
126291888
250011887

prune374.0ms

Filtered
201 candidates to 119 candidates (59.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1974201
Fresh000
Picked011
Done000
Total1975202

Merged error: 0b

Counts
202 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b
(/ (- y z) (+ (- t z) 1.0))
1.8b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
1079×times-frac
929×*-un-lft-identity
570×add-sqr-sqrt
393×add-cube-cbrt
153×distribute-lft-out--
152×distribute-lft-out
83×difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 associate-/l/
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip--
1×sub-neg diff-log associate--r-
Counts
3 → 545
Calls
3 calls:
100.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
10.0ms
(/ (- y z) (+ (- t z) 1.0))
26.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series262.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
48.0ms
(/ (- y z) (+ (- t z) 1.0))
128.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify114.0ms

Algorithm
egg-herbie
Counts
554 → 554
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
019257704
150027175

prune705.0ms

Filtered
554 candidates to 226 candidates (40.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New5540554
Fresh033
Picked011
Done011
Total5545559

Merged error: 0b

Counts
559 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b
(/ a (+ (- t z) 1.0))
9.4b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
31×times-frac
30×add-sqr-sqrt
23×add-cube-cbrt
21×associate-*r*
14×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×pow1 associate-*l* associate-/r* add-log-exp
4×associate-/r/
3×flip3-- flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative difference-of-squares
Counts
3 → 95
Calls
3 calls:
3.0ms
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
10.0ms
(/ a (+ (- t z) 1.0))
15.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
36.0ms
(/ a (+ (- t z) 1.0))
66.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0408686
11779630
25002630

prune182.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh022
Picked011
Done022
Total1045109

Merged error: 0b

Counts
109 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

4.4b
(sqrt (/ (- y z) (/ (+ (- t z) 1.0) a)))
4.4b
(sqrt (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))
10.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
768×*-un-lft-identity
716×times-frac
450×add-sqr-sqrt
282×add-cube-cbrt
200×sqrt-prod
144×distribute-lft-out--
132×distribute-lft-out
78×difference-of-squares
38×associate-/r*
26×div-inv
14×add-exp-log add-cbrt-cube
10×associate-/l*
6×pow1 cbrt-undiv rem-sqrt-square div-exp
4×associate-/r/ associate-/l/ add-log-exp
2×flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub clear-num flip--
Counts
4 → 500
Calls
4 calls:
17.0ms
(sqrt (/ (- y z) (/ (+ (- t z) 1.0) a)))
25.0ms
(sqrt (/ (- y z) (/ (+ (- t z) 1.0) a)))
29.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))
18.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series5.7s

Counts
4 → 12
Calls
4 calls:
2.9s
(sqrt (/ (- y z) (/ (+ (- t z) 1.0) a)))
2.6s
(sqrt (/ (- y z) (/ (+ (- t z) 1.0) a)))
120.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))
139.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify117.0ms

Algorithm
egg-herbie
Counts
512 → 512
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07176266
124476050
250025914

prune1.1s

Filtered
512 candidates to 284 candidates (55.5%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New5120512
Fresh011
Picked011
Done033
Total5125517

Merged error: 0b

Counts
517 → 5

regimes192.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample567.0ms

Algorithm
intervals
Results
314.0ms8465×body80valid
0.0ms2×body640valid
0.0ms1×body320valid

Profiling

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