Details

Time bar (total: 16.1s)

sample184.0ms

Algorithm
intervals
Results
79.0ms1577×body80nan
28.0ms483×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt add-cbrt-cube
11×add-exp-log
10×associate-*r* add-log-exp
9×pow1
6×log-prod associate-*l* exp-sum
5×exp-prod
3×distribute-rgt-in distribute-lft-in times-frac exp-diff prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv sub-neg diff-log associate-*r/ div-exp pow-prod-down associate--l+ *-commutative unswap-sqr
1×frac-2neg clear-num sum-log log-pow div-inv associate-/l/ associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
4.0ms
(* y (log z))
99.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
30.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
78.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series459.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* y (log z))
141.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
113.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0404981
11795794
25001742

prune343.0ms

Filtered
100 candidates to 76 candidates (76.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
96×add-sqr-sqrt
81×associate-*r*
76×*-un-lft-identity
75×add-cube-cbrt
55×unpow-prod-down
45×add-exp-log
26×log-prod
24×div-exp
22×add-cbrt-cube
17×exp-sum
16×prod-exp
14×pow1
13×distribute-rgt-in distribute-lft-in
12×associate-*l*
8×pow-exp div-inv unswap-sqr
6×log-pow cbrt-unprod
5×cbrt-undiv sqr-pow
4×add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×pow-to-exp rec-exp pow-flip 1-exp associate-*r/ log-rec inv-pow
1×distribute-lft-neg-out frac-2neg clear-num distribute-rgt-neg-out associate-/l/ associate-/l*
Counts
4 → 199
Calls
4 calls:
4.0ms
(* (log (/ 1 a)) t)
8.0ms
(* y (log (/ 1 z)))
143.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
96.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series750.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (log (/ 1 a)) t)
41.0ms
(* y (log (/ 1 z)))
323.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
326.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010772667
150022322

prune778.0ms

Filtered
211 candidates to 145 candidates (68.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
16×div-exp
13×add-cbrt-cube
7×prod-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv pow-exp add-log-exp
3×cbrt-prod times-frac pow1/3 associate-/r*
2×cbrt-unprod
1×pow-to-exp rec-exp frac-2neg 1-exp associate-*r/ clear-num div-inv associate-/l/ associate-/l*
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (* y (log (/ 1 z))))
2.0ms
(cbrt (* y (log (/ 1 z))))
2.0ms
(cbrt (* y (log (/ 1 z))))
166.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* (* (cbrt (* y (log (/ 1 z)))) (cbrt (* y (log (/ 1 z))))) (cbrt (* y (log (/ 1 z))))) (+ (* (log (/ 1 a)) t) b))))) y)

series703.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (* y (log (/ 1 z))))
111.0ms
(cbrt (* y (log (/ 1 z))))
111.0ms
(cbrt (* y (log (/ 1 z))))
367.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* (* (cbrt (* y (log (/ 1 z)))) (cbrt (* y (log (/ 1 z))))) (cbrt (* y (log (/ 1 z))))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04281254
11631939
25002821

prune308.0ms

Filtered
68 candidates to 51 candidates (75.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (+ (* (* (cbrt (* y (log (/ 1 z)))) (cbrt (* y (log (/ 1 z))))) (cbrt (* y (log (/ 1 z))))) (+ (* (log (/ 1 a)) t) b))))))
0.6b
(cbrt (* y (log (/ 1 z))))
0.6b
(cbrt (* y (log (/ 1 z))))
0.6b
(cbrt (* y (log (/ 1 z))))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
2775×times-frac
1118×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
624×unpow-prod-down
221×associate-/r*
204×exp-sum
65×div-inv
48×sqr-pow
27×add-exp-log
23×div-exp
13×add-cbrt-cube
6×cbrt-undiv
5×associate-/r/
4×pow1 pow-exp add-log-exp
3×cbrt-prod pow1/3 associate-/l*
1×pow-to-exp rec-exp frac-2neg 1-exp clear-num
Counts
4 → 936
Calls
4 calls:
137.0ms
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (+ (* (* (cbrt (* y (log (/ 1 z)))) (cbrt (* y (log (/ 1 z))))) (cbrt (* y (log (/ 1 z))))) (+ (* (log (/ 1 a)) t) b))))))
2.0ms
(cbrt (* y (log (/ 1 z))))
2.0ms
(cbrt (* y (log (/ 1 z))))
2.0ms
(cbrt (* y (log (/ 1 z))))

series710.0ms

Counts
4 → 12
Calls
4 calls:
368.0ms
(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (+ (* (* (cbrt (* y (log (/ 1 z)))) (cbrt (* y (log (/ 1 z))))) (cbrt (* y (log (/ 1 z))))) (+ (* (log (/ 1 a)) t) b))))))
113.0ms
(cbrt (* y (log (/ 1 z))))
114.0ms
(cbrt (* y (log (/ 1 z))))
116.0ms
(cbrt (* y (log (/ 1 z))))

simplify398.0ms

Algorithm
egg-herbie
Counts
948 → 948
Iterations

Useful iterations: 1 (80.0ms)

IterNodesCost
0476741490
1500241004

prune4.8s

Filtered
948 candidates to 669 candidates (70.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes197.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04665
14665

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.3s44786×body80nan
913.0ms15048×body80valid