Details

Time bar (total: 13.9s)

sample230.0ms

Algorithm
intervals
Results
83.0ms1357×body80nan
35.0ms469×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune17.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite56.0ms

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:
13.0ms
(* (- t 1.0) (log a))
8.0ms
(* y (log z))
11.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
19.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series140.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
45.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
79.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0569965
12353793
25001726

prune162.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1043107
Fresh011
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 z)) y)
0.3b
(* (log (/ 1 a)) t)
1.7b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

rewrite65.0ms

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:
29.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
4.0ms
(* (log (/ 1 z)) y)
4.0ms
(* (log (/ 1 a)) t)
18.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

series297.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
10.0ms
(* (log (/ 1 z)) y)
11.0ms
(* (log (/ 1 a)) t)
131.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

simplify111.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010502460
149782167
250022167

prune477.0ms

Filtered
189 candidates to 131 candidates (30.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1863189
Fresh213
Picked101
Done000
Total1894193

Merged error: 0b

Counts
193 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ y (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))))
0.2b
(* (log (/ 1 z)) y)
0.3b
(* (log (/ 1 a)) t)
1.7b
(/ y (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
82×div-exp
39×times-frac
31×add-sqr-sqrt add-cbrt-cube
30×prod-exp
27×add-cube-cbrt *-un-lft-identity
16×pow-exp
13×pow1 rec-exp 1-exp
12×cbrt-undiv associate-*l*
9×associate-/r*
6×associate-*r* associate-/r/ log-pow cbrt-unprod div-inv associate-/l*
5×associate-*r/
4×pow-to-exp add-log-exp
3×pow-flip inv-pow
2×distribute-lft-neg-out frac-2neg log-rec pow-prod-down clear-num *-commutative unswap-sqr
Counts
4 → 152
Calls
4 calls:
20.0ms
(/ 1 (/ y (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))))
4.0ms
(* (log (/ 1 z)) y)
4.0ms
(* (log (/ 1 a)) t)
18.0ms
(/ y (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(/ 1 (/ y (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))))
10.0ms
(* (log (/ 1 z)) y)
10.0ms
(* (log (/ 1 a)) t)
133.0ms
(/ y (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08292465
136782090
250011969

prune243.0ms

Filtered
164 candidates to 83 candidates (49.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1640164
Fresh033
Picked011
Done000
Total1644168

Merged error: 0b

Counts
168 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y)
0.2b
(* (log (/ 1 z)) y)
0.3b
(* (log (/ 1 a)) t)
1.6b
(* x (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
1197×times-frac
542×add-sqr-sqrt
514×*-un-lft-identity
513×add-cube-cbrt
367×unpow-prod-down
238×associate-*r*
119×exp-sum
76×associate-/l*
45×add-exp-log
44×distribute-lft-neg-out log-rec
37×div-inv
30×div-exp
29×sqr-pow
28×exp-diff associate-/r/
22×add-cbrt-cube
15×associate-*l*
14×pow1 associate-+r- distribute-neg-out unsub-neg
10×prod-exp
9×unswap-sqr
8×pow-exp
6×cbrt-undiv log-pow
5×cbrt-unprod
4×add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×pow-to-exp rec-exp pow-flip 1-exp inv-pow
1×frac-2neg associate-*r/ clear-num associate-/l/
Counts
4 → 634
Calls
4 calls:
26.0ms
(/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y)
8.0ms
(* (log (/ 1 z)) y)
5.0ms
(* (log (/ 1 a)) t)
62.0ms
(* x (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y))

series271.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y)
11.0ms
(* (log (/ 1 z)) y)
10.0ms
(* (log (/ 1 a)) t)
131.0ms
(* x (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y))

simplify149.0ms

Algorithm
egg-herbie
Counts
646 → 646
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0262612259
1500211830

prune2.7s

Filtered
646 candidates to 472 candidates (26.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New6460646
Fresh022
Picked011
Done011
Total6464650

Merged error: 0b

Counts
650 → 4

regimes535.0ms

Accuracy

95.2% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 1.2b

bsearch86.0ms

Steps
ItersRangePoint
9
2.105080526202408e-17
3.846538971349334e-08
1.0133091657172024e-12

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03529
13529

end0.0ms

sample7.6s

Algorithm
intervals
Results
2.9s45720×body80nan
1.2s15342×body80valid

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