Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms282×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
2.5b
(* y (/ (- z t) (- z a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- z a))))
8.0ms
(/ (- z t) (- z a))
13.0ms
(* y (/ (- z t) (- z a)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(+ x (* y (/ (- z t) (- z a))))
44.0ms
(/ (- z t) (- z a))
66.0ms
(* y (/ (- z t) (- z a)))

simplify54.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0423747
11655704
25001704

prune279.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
2.5b
(* y (* (- z t) (/ 1 (- z a))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip-- add-log-exp
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×un-div-inv *-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 130
Calls
4 calls:
3.0ms
(+ x (* y (* (- z t) (/ 1 (- z a)))))
5.0ms
(/ 1 (- z a))
13.0ms
(* (- z t) (/ 1 (- z a)))
12.0ms
(* y (* (- z t) (/ 1 (- z a))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ x (* y (* (- z t) (/ 1 (- z a)))))
34.0ms
(/ 1 (- z a))
46.0ms
(* (- z t) (/ 1 (- z a)))
62.0ms
(* y (* (- z t) (/ 1 (- z a))))

simplify51.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0457788
12015679
25001634

prune323.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b
(/ (- z a) (- z t))
0.3b
(/ 1 (/ (- z a) (- z t)))
2.5b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
336×add-sqr-sqrt
324×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 338
Calls
4 calls:
2.0ms
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
8.0ms
(/ (- z a) (- z t))
15.0ms
(/ 1 (/ (- z a) (- z t)))
30.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
42.0ms
(/ (- z a) (- z t))
99.0ms
(/ 1 (/ (- z a) (- z t)))
117.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify101.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
09542833
147752544
250022258

prune645.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.5b
(* y (* (* (cbrt (/ 1 (/ (- z a) (- z t)))) (cbrt (/ 1 (/ (- z a) (- z t))))) (cbrt (/ 1 (/ (- z a) (- z t))))))
4.0b
(cbrt (/ 1 (/ (- z a) (- z t))))
4.0b
(cbrt (/ 1 (/ (- z a) (- z t))))
4.0b
(cbrt (/ 1 (/ (- z a) (- z t))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
504×times-frac
380×add-sqr-sqrt *-un-lft-identity
294×cbrt-prod
200×add-cube-cbrt
90×distribute-lft-out-- difference-of-squares
21×associate-/r/
15×cbrt-div
13×pow1 add-exp-log
12×div-inv
10×associate-*r/
9×flip3-- add-cbrt-cube flip--
6×pow-prod-down prod-exp cbrt-unprod
5×frac-times associate-*l/
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 349
Calls
4 calls:
60.0ms
(* y (* (* (cbrt (/ 1 (/ (- z a) (- z t)))) (cbrt (/ 1 (/ (- z a) (- z t))))) (cbrt (/ 1 (/ (- z a) (- z t))))))
13.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))
13.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))
13.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))

series521.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* y (* (* (cbrt (/ 1 (/ (- z a) (- z t)))) (cbrt (/ 1 (/ (- z a) (- z t))))) (cbrt (/ 1 (/ (- z a) (- z t))))))
136.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))
136.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))
133.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))

simplify93.0ms

Algorithm
egg-herbie
Counts
361 → 361
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07365066
127464700
250024139

prune520.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes168.0ms

Accuracy

57.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.4b

bsearch65.0ms

Steps
ItersRangePoint
8
1.8099195021178418e+27
1.2121919554764034e+30
1.8327693131812995e+27
6
-1.2703013342081347e-64
-1.061524177095417e-65
-1.1226440860784546e-64

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03518
13518

end0.0ms

sample553.0ms

Algorithm
intervals
Results
300.0ms8774×body80valid