Details

Time bar (total: 30.8s)

sample208.0ms

Algorithm
intervals
Results
97.0ms1320×body80nan
39.0ms464×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune13.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b
(/ (* 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))
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)

series376.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- t 1.0) (log a))
36.0ms
(* y (log z))
114.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
169.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0492869
12033708
25002676

prune324.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1016107
Fresh101
Picked101
Done000
Total1036109

Merged error: 0.0b

Counts
109 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.9b
(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b
(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×add-exp-log
20×*-un-lft-identity
16×add-cube-cbrt
13×add-cbrt-cube
12×log-prod
11×pow1
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in prod-exp
5×pow-unpow div-exp
4×pow-exp add-log-exp
3×unpow-prod-up unpow-prod-down times-frac associate-/r* cbrt-unprod
2×cbrt-undiv pow-to-exp e-exp-1 pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- pow-sub difference-of-squares unswap-sqr
1×sub-neg flip3-- pow-pow frac-2neg associate-*r/ associate--l+ clear-num flip-- div-inv associate-/l/ associate-/l* sqr-pow
Counts
4 → 103
Calls
4 calls:
7.0ms
(* (- t 1.0) (log a))
5.0ms
(* y (log z))
6.0ms
(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
8.0ms
(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series400.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (- t 1.0) (log a))
42.0ms
(* y (log z))
122.0ms
(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
183.0ms
(/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify67.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0548981
12270863
25002847

prune325.0ms

Filtered
115 candidates to 77 candidates (67.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh055
Picked011
Done000
Total1156121

Merged error: 0.0b

Counts
121 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (log (/ 1 a)) t) b)
0.3b
(* y (log (/ 1 z)))
0.3b
(* (log (/ 1 a)) t)
7.4b
(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
3067×times-frac
1237×add-sqr-sqrt
1233×add-cube-cbrt *-un-lft-identity
728×unpow-prod-down
238×exp-sum
146×div-inv
72×associate-/l*
56×sqr-pow
43×add-exp-log
37×div-exp
26×log-prod
20×add-cbrt-cube
13×distribute-rgt-in distribute-lft-in associate-/r*
12×pow1
9×associate-*r* associate-*l*
8×cbrt-undiv pow-exp
6×log-pow add-log-exp
2×pow-to-exp rec-exp pow-flip 1-exp log-rec pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
1×+-commutative distribute-lft-neg-out frac-2neg flip3-+ clear-num sum-log associate-/r/ distribute-rgt-neg-out flip-+ associate-/l/
Counts
4 → 1132
Calls
4 calls:
5.0ms
(+ (* (log (/ 1 a)) t) b)
7.0ms
(* y (log (/ 1 z)))
5.0ms
(* (log (/ 1 a)) t)
45.0ms
(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

series868.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (* (log (/ 1 a)) t) b)
42.0ms
(* y (log (/ 1 z)))
59.0ms
(* (log (/ 1 a)) t)
697.0ms
(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

simplify307.0ms

Algorithm
egg-herbie
Counts
1144 → 1144
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
0500132466

prune4.9s

Filtered
1144 candidates to 877 candidates (76.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New114221144
Fresh134
Picked011
Done011
Total114371150

Merged error: 0b

Counts
1150 → 7

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.6b
(/ (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ (cbrt y) x))

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
5410×times-frac
2349×cbrt-prod
2168×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1196×unpow-prod-down
391×exp-sum
192×div-inv
92×sqr-pow
75×associate-/l*
22×associate-/r*
9×add-exp-log
6×add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×cbrt-div frac-2neg clear-num associate-/r/ associate-/l/
Counts
4 → 1796
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
62.0ms
(/ (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ (cbrt y) x))

series1.3s

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt y)
182.0ms
(cbrt y)
180.0ms
(cbrt y)
754.0ms
(/ (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ (cbrt y) x))

simplify551.0ms

Algorithm
egg-herbie
Counts
1808 → 1808
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0500162840

prune12.6s

Filtered
1808 candidates to 1447 candidates (80.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New180801808
Fresh044
Picked011
Done022
Total180871815

Merged error: 0b

Counts
1815 → 7

regimes486.0ms

Accuracy

36.6% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.1b

bsearch258.0ms

Steps
ItersRangePoint
9
4.6158287005478894e+193
3.1031054356669215e+199
2.9945840057571585e+199

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05358
15358

end0.0ms

sample7.0s

Algorithm
intervals
Results
3.4s46443×body80nan
1.3s15269×body80valid

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