Details

Time bar (total: 21.0s)

sample263.0ms

Algorithm
intervals
Results
93.0ms1345×body80nan
39.0ms499×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune15.0ms

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: 0.3b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.1b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.7b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite33.0ms

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))
4.0ms
(* y (log z))
6.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
12.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series126.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
42.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
68.0ms
(/ (* 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

prune174.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1034107
Fresh011
Picked101
Done000
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize21.0ms

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))))))
0.3b
(* (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)

rewrite69.0ms

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:
32.0ms
(* 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)
19.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

series289.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* 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)
137.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

simplify115.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010502460
149782167
250022167

prune476.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1881189
Fresh134
Picked011
Done000
Total1895194

Merged error: 0b

Counts
194 → 5

localize24.0ms

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)
0.3b
(* (log (/ 1 z)) y)
0.3b
(* (log (/ 1 a)) t)
1.2b
(* x (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y))

rewrite162.0ms

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:
27.0ms
(/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y)
5.0ms
(* (log (/ 1 z)) y)
5.0ms
(* (log (/ 1 a)) t)
68.0ms
(* x (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y))

series281.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y)
10.0ms
(* (log (/ 1 z)) y)
13.0ms
(* (log (/ 1 a)) t)
138.0ms
(* x (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y))

simplify151.0ms

Algorithm
egg-herbie
Counts
646 → 646
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0262612259
1500211830

prune2.7s

Filtered
472 candidates to 646 candidates (-36.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6460646
Fresh033
Picked011
Done011
Total6465651

Merged error: 0b

Counts
651 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(/ (/ (/ (/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b)) (cbrt y)) (cbrt y)) (cbrt y))
0.7b
(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
6135×times-frac
2697×cbrt-prod
2355×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
303×div-inv
281×associate-/l*
94×add-exp-log
61×div-exp
38×prod-exp
25×add-cbrt-cube
21×cbrt-undiv
12×pow-to-exp pow-exp
9×associate-/r*
6×cbrt-unprod
4×pow1 add-log-exp
2×frac-2neg pow1/3 clear-num associate-/l/
1×associate-*r/ associate-*l/ pow-sub
Counts
4 → 2051
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
85.0ms
(/ (/ (/ (/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b)) (cbrt y)) (cbrt y)) (cbrt y))
10.0ms
(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

series204.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
21.0ms
(cbrt y)
83.0ms
(/ (/ (/ (/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b)) (cbrt y)) (cbrt y)) (cbrt y))
78.0ms
(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

simplify467.0ms

Algorithm
egg-herbie
Counts
2063 → 2063
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0500154661

prune7.3s

Filtered
1913 candidates to 2063 candidates (-7.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New206302063
Fresh022
Picked011
Done022
Total206352068

Merged error: 0b

Counts
2068 → 5

regimes644.0ms

Accuracy

94.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.4b

bsearch73.0ms

Steps
ItersRangePoint
7
180810.25052949833
3094715.1764793294
1102687.5609883857

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03428
13428

end0.0ms

sample6.9s

Algorithm
intervals
Results
2.8s41487×body80nan
1.2s15232×body80valid

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