Details

Time bar (total: 12.2s)

sample339.0ms

Algorithm
intervals
Results
128.0ms1598×body80nan
47.0ms520×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune16.0ms

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:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite31.0ms

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))
11.0ms
(/ (* 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))
43.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
68.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify60.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0569965
12353793
25001726

prune175.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1034107
Fresh011
Picked101
Done000
Total1045109

Merged error: 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 a)) t)
0.3b
(* (log (/ 1 z)) y)
1.3b
(/ (* 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:
31.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
4.0ms
(* (log (/ 1 a)) t)
4.0ms
(* (log (/ 1 z)) y)
20.0ms
(/ (* 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:
126.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
10.0ms
(* (log (/ 1 a)) t)
10.0ms
(* (log (/ 1 z)) y)
134.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

simplify113.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010502466
149552173
250022173

prune485.0ms

Filtered
189 candidates to 131 candidates (30.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1890189
Fresh044
Picked011
Done000
Total1895194

Merged error: 0b

Counts
194 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
1.0b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×add-exp-log
24×*-un-lft-identity
21×associate-*r*
20×add-cube-cbrt add-cbrt-cube
15×pow1
14×prod-exp
12×log-prod
10×add-log-exp
9×times-frac associate-*l*
8×cbrt-unprod
6×distribute-rgt-in distribute-lft-in
5×exp-prod pow-prod-down
4×div-exp
3×exp-diff associate-*r/ exp-sum associate-*l/ *-commutative rem-exp-log
2×cbrt-undiv rec-exp diff-log 1-exp log-pow distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-times sub-neg flip3-- associate--l+ sum-log un-div-inv flip-- div-inv
Counts
4 → 113
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))
16.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))

series127.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
7.0ms
(* y (log z))
43.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
68.0ms
(* (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (/ 1 y))

simplify78.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07091228
13077979
25001931

prune173.0ms

Filtered
125 candidates to 86 candidates (31.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh033
Picked011
Done011
Total1255130

Merged error: 0b

Counts
130 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 a)) t)
0.3b
(* (log (/ 1 z)) y)
5.8b
(/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x))
8.2b
(* (/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
2419×add-exp-log
1602×div-exp
1547×prod-exp
876×pow-exp
597×1-exp
342×pow-to-exp
96×rec-exp
89×add-cbrt-cube
56×times-frac
38×add-sqr-sqrt
34×cbrt-undiv
32×add-cube-cbrt *-un-lft-identity
30×associate-*l* cbrt-unprod
14×pow1
13×associate-*r* associate-/r*
6×log-pow div-inv
4×add-log-exp
3×pow-prod-down *-commutative unswap-sqr
2×distribute-lft-neg-out pow-flip log-rec associate-/r/ inv-pow
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/l*
Counts
4 → 750
Calls
4 calls:
4.0ms
(* (log (/ 1 a)) t)
4.0ms
(* (log (/ 1 z)) y)
15.0ms
(/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x))
32.0ms
(* (/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

series292.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (log (/ 1 a)) t)
11.0ms
(* (log (/ 1 z)) y)
95.0ms
(/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x))
176.0ms
(* (/ (* (pow (/ 1 a) 1.0) (pow 1 (+ t y))) (/ y x)) (/ (* (pow 1 1.0) (exp (neg (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) 1))

simplify152.0ms

Algorithm
egg-herbie
Counts
762 → 762
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0247814424
1500210821

prune402.0ms

Filtered
762 candidates to 113 candidates (85.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New7620762
Fresh022
Picked011
Done022
Total7625767

Merged error: 0b

Counts
767 → 5

regimes932.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample8.0s

Algorithm
intervals
Results
3.0s46328×body80nan
1.2s15261×body80valid

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