Details

Time bar (total: 14.2s)

sample255.0ms

Algorithm
intervals
Results
90.0ms1381×body80nan
37.0ms496×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune18.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.8b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod
10×pow1 add-log-exp
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
3×times-frac exp-sum prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv exp-diff diff-log div-exp pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×sub-neg flip3-- frac-2neg associate-*r/ associate--l+ clear-num sum-log flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 95
Calls
4 calls:
7.0ms
(* (- t 1.0) (log a))
5.0ms
(* y (log z))
7.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series132.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
46.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
70.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0569965
12353793
25001726

prune170.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1034107
Fresh101
Picked101
Done000
Total1054109

Merged error: 0.0b

Counts
109 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
0.2b
(* (log (/ 1 a)) t)
0.3b
(* (log (/ 1 z)) y)
0.9b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
82×add-sqr-sqrt associate-*r*
62×*-un-lft-identity
61×add-cube-cbrt
55×unpow-prod-down
45×add-exp-log
24×div-exp
22×add-cbrt-cube
17×exp-sum
16×prod-exp
15×associate-*l*
14×pow1
8×distribute-lft-neg-out log-rec pow-exp unswap-sqr
6×log-pow cbrt-unprod div-inv
5×cbrt-undiv sqr-pow
4×exp-diff associate-/r/ add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×pow-to-exp associate-+r- rec-exp distribute-neg-out pow-flip 1-exp associate-*r/ unsub-neg inv-pow
1×frac-2neg clear-num associate-/l/ associate-/l*
Counts
4 → 177
Calls
4 calls:
28.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
5.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 z)) y)
23.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

series298.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
10.0ms
(* (log (/ 1 a)) t)
11.0ms
(* (log (/ 1 z)) y)
141.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

simplify118.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010502460
149782167
250022167

prune515.0ms

Filtered
131 candidates to 189 candidates (-44.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1872189
Fresh123
Picked011
Done000
Total1885193

Merged error: 0.0b

Counts
193 → 5

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 z)) y)
0.9b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)
0.9b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)
0.9b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
48×div-exp
33×add-cbrt-cube
22×prod-exp
14×add-sqr-sqrt
12×cbrt-undiv add-cube-cbrt *-un-lft-identity pow-exp
9×times-frac associate-/r*
8×pow1
7×cbrt-unprod
6×associate-*l*
4×add-log-exp
3×pow-to-exp rec-exp frac-2neg 1-exp associate-*r/ associate-*r* clear-num log-pow div-inv associate-/l/ associate-/l*
1×distribute-lft-neg-out pow-flip log-rec pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 109
Calls
4 calls:
5.0ms
(* (log (/ 1 z)) y)
20.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)
20.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)
20.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

series429.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (log (/ 1 z)) y)
141.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)
138.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)
139.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

simplify61.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04902002
120571568
250021508

prune604.0ms

Filtered
80 candidates to 121 candidates (-51.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh033
Picked011
Done011
Total1215126

Merged error: 0.0b

Counts
126 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.4b
(* (/ x (* (cbrt y) (cbrt y))) (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) (cbrt y)))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
1148×times-frac
558×add-sqr-sqrt
466×*-un-lft-identity
462×add-cube-cbrt
460×associate-*r*
324×unpow-prod-down
249×cbrt-prod
102×exp-sum
97×add-exp-log
61×div-exp
36×distribute-lft-neg-out log-rec
32×prod-exp div-inv
28×add-cbrt-cube sqr-pow
26×unswap-sqr
24×exp-diff associate-/r/
15×cbrt-undiv
12×associate-+r- distribute-neg-out unsub-neg pow-exp cbrt-unprod
7×associate-*l*
6×pow1
4×add-log-exp
3×pow-to-exp rec-exp pow1/3 1-exp
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 571
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
133.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) (cbrt y)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
22.0ms
(cbrt y)
22.0ms
(cbrt y)
143.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) (cbrt y)))

simplify164.0ms

Algorithm
egg-herbie
Counts
583 → 583
Iterations

Useful iterations: 1 (62.0ms)

IterNodesCost
0412511957
1500211637

prune3.5s

Filtered
461 candidates to 583 candidates (-26.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5821583
Fresh022
Picked011
Done022
Total5826588

Merged error: 0b

Counts
588 → 6

regimes694.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample6.5s

Algorithm
intervals
Results
2.7s40979×body80nan
1.2s15086×body80valid

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