Details

Time bar (total: 3.2s)

sample31.0ms

Algorithm
intervals
Results
19.0ms328×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
4.7b
(/ (* (- y x) z) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
10.0ms
(* (- y x) z)
4.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(/ (* (- y x) z) t)

series107.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (- y x) z)
35.0ms
(+ x (/ (* (- y x) z) t))
43.0ms
(/ (* (- y x) z) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0296337
11154289
25002284

prune164.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.2b
(* (- y x) (/ z t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
15.0ms
(* (- y x) (/ z t))

series78.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* (- y x) (/ z t)))
41.0ms
(* (- y x) (/ z t))

simplify40.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0306327
11283301
25002286

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.2b
(* (- y x) (/ z t))
6.3b
(cbrt (* (- y x) (/ z t)))
6.3b
(cbrt (* (- y x) (/ z t)))
6.3b
(cbrt (* (- y x) (/ z t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×cbrt-div
14×*-un-lft-identity
13×associate-*r*
12×add-cube-cbrt
10×times-frac
9×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-*l/ flip--
6×pow1
5×associate-*l*
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
15.0ms
(* (- y x) (/ z t))
5.0ms
(cbrt (* (- y x) (/ z t)))
5.0ms
(cbrt (* (- y x) (/ z t)))
5.0ms
(cbrt (* (- y x) (/ z t)))

series453.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (- y x) (/ z t))
136.0ms
(cbrt (* (- y x) (/ z t)))
137.0ms
(cbrt (* (- y x) (/ z t)))
140.0ms
(cbrt (* (- y x) (/ z t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0383720
11502672
25002660

prune322.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ 1 (/ t (* (- y x) z))))
0.6b
(/ 1 (/ t (* (- y x) z)))
4.7b
(/ t (* (- y x) z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log *-un-lft-identity
31×add-sqr-sqrt
27×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*l/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*l* prod-exp
4×expm1-log1p-u log1p-expm1-u
3×rec-exp fma-def 1-exp associate-*r* cbrt-unprod
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 133
Calls
4 calls:
9.0ms
(* (- y x) z)
17.0ms
(+ x (/ 1 (/ t (* (- y x) z))))
11.0ms
(/ 1 (/ t (* (- y x) z)))
5.0ms
(/ t (* (- y x) z))

series175.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (- y x) z)
37.0ms
(+ x (/ 1 (/ t (* (- y x) z))))
48.0ms
(/ 1 (/ t (* (- y x) z)))
60.0ms
(/ t (* (- y x) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0457846
11962686
25002668

prune249.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

-14.8% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 1.9b

bsearch76.0ms

Steps
ItersRangePoint
9
4.021451897487416e-109
2.541176406930875e-101
1.7361197910084992e-107
7
-3.1070786598825185e-261
-1.3429537276497345e-262
-1.5579983248195513e-261

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0268
1288
2288

end0.0ms

sample837.0ms

Algorithm
intervals
Results
547.0ms10744×body80valid