Details

Time bar (total: 3.7s)

sample22.0ms

Algorithm
intervals
Results
11.0ms263×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

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: 7.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(- (* t z) x)
1.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b
(/ (- (* y z) x) (- (* t z) x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 div-sub associate-/r/ associate-/l/
3×flip3-- flip3-+ flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 98
Calls
4 calls:
10.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
6.0ms
(- (* t z) x)
14.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms
(/ (- (* y z) x) (- (* t z) x))

series269.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
22.0ms
(- (* t z) x)
116.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
53.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify47.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03971011
11388948
25001947

prune233.0ms

Filtered
110 candidates to 80 candidates (72.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1028110
Fresh000
Picked011
Done000
Total1029111

Merged error: 1.2b

Counts
111 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.2b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
1.0b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
8.0b
(/ (- (* t z) x) (- (* y z) x))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
94×*-un-lft-identity
67×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×associate-/r/ add-cbrt-cube
12×div-inv
11×associate-/l*
9×div-exp
7×flip3-- flip--
6×add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×frac-2neg clear-num
2×rec-exp flip3-+ 1-exp flip-+
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 173
Calls
4 calls:
4.0ms
(- (* t z) x)
10.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
24.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.0ms
(/ (- (* t z) x) (- (* y z) x))

series298.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (* t z) x)
79.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
138.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
59.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify79.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06332022
129171858
250021779

prune272.0ms

Filtered
185 candidates to 103 candidates (55.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1841185
Fresh167
Picked101
Done011
Total1868194

Merged error: 1.2b

Counts
194 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
0.4b
(/ 1 (- (* y z) x))
1.0b
(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
7.8b
(* (- (* t z) x) (/ 1 (- (* y z) x)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
54×add-exp-log
43×times-frac
40×add-sqr-sqrt
33×add-cube-cbrt
22×add-cbrt-cube
21×div-exp
16×prod-exp distribute-lft-out
15×associate-*r*
12×associate-/r/
11×associate-/l*
10×pow1 rec-exp 1-exp
9×div-inv
8×associate-/r*
7×cbrt-undiv
6×flip3-- flip--
4×frac-times associate-*l/ cbrt-unprod add-log-exp
3×pow-flip frac-2neg associate-*l* clear-num unswap-sqr
2×flip3-+ associate-*r/ pow-prod-down un-div-inv flip-+ associate-/l/ inv-pow
1×*-commutative
Counts
4 → 164
Calls
4 calls:
12.0ms
(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
6.0ms
(/ 1 (- (* y z) x))
12.0ms
(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
13.0ms
(* (- (* t z) x) (/ 1 (- (* y z) x)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
22.0ms
(/ 1 (- (* y z) x))
143.0ms
(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
58.0ms
(* (- (* t z) x) (/ 1 (- (* y z) x)))

simplify75.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05681616
126941413
250021374

prune273.0ms

Filtered
176 candidates to 95 candidates (54.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh066
Picked011
Done011
Total1768184

Merged error: 1.2b

Counts
184 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b
(/ (- (* y z) x) (- (* t z) x))
7.8b
(/ (- (* y z) x) (- (* t z) x))
7.8b
(/ (- (* y z) x) (- (* t z) x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
43×times-frac
38×add-sqr-sqrt add-cube-cbrt
13×associate-/r* associate-/l*
12×add-exp-log add-cbrt-cube
10×distribute-lft-out
8×associate-/r/ associate-/l/
6×flip3-- flip--
5×div-sub
4×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
2×flip3-+ flip-+
1×associate-+r-
Counts
4 → 137
Calls
4 calls:
14.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms
(/ (- (* y z) x) (- (* t z) x))
10.0ms
(/ (- (* y z) x) (- (* t z) x))
9.0ms
(/ (- (* y z) x) (- (* t z) x))

series277.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
54.0ms
(/ (- (* y z) x) (- (* t z) x))
53.0ms
(/ (- (* y z) x) (- (* t z) x))
57.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify50.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
03631420
113061320
250011320

prune432.0ms

Filtered
149 candidates to 116 candidates (77.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1490149
Fresh055
Picked011
Done022
Total1498157

Merged error: 1.2b

Counts
157 → 8

regimes223.0ms

Accuracy

77.2% (1.5b remaining)

Error of 2.5b against oracle of 1.0b and baseline of 7.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03028
13028

end0.0ms

sample592.0ms

Algorithm
intervals
Results
381.0ms8334×body80valid

Profiling

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