Details

Time bar (total: 2.6s)

sample25.0ms

Algorithm
intervals
Results
10.0ms346×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
6.8b
(/ (* (- y x) z) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log *-un-lft-identity add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×fma-def times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 42
Calls
2 calls:
9.0ms
(+ x (/ (* (- y x) z) t))
16.0ms
(/ (* (- y x) z) t)

series71.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ x (/ (* (- y x) z) t))
40.0ms
(/ (* (- y x) z) t)

simplify28.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0241243
1908207
25001202

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.4b
(/ (- y x) (/ t z))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 121
Calls
2 calls:
34.0ms
(+ x (/ (- y x) (/ t z)))
22.0ms
(/ (- y x) (/ t z))

series69.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ x (/ (- y x) (/ t z)))
40.0ms
(/ (- y x) (/ t z))

simplify54.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0618976
12232923
25001920

prune258.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.0b
(* (- y x) (/ z t))

rewrite35.0ms

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:
7.0ms
(+ x (* (- y x) (/ z t)))
26.0ms
(* (- y x) (/ z t))

series70.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ x (* (- y x) (/ z t)))
39.0ms
(* (- y x) (/ z t))

simplify38.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0306327
11283301
25002286

prune129.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ y t) z x) (/ x (/ t z)))
3.7b
(fma (/ y t) z x)
6.1b
(/ x (/ t z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
204×add-sqr-sqrt
197×*-un-lft-identity
195×add-cube-cbrt
132×prod-diff
17×div-inv
13×associate-/r*
8×add-exp-log add-cbrt-cube
5×add-log-exp
4×associate-/r/
3×pow1 cbrt-undiv expm1-log1p-u fma-neg div-exp log1p-expm1-u associate-/l* difference-of-squares
2×fma-udef
1×sub-neg flip3-- frac-2neg diff-log associate--l+ clear-num flip-- distribute-lft-out--
Counts
3 → 236
Calls
3 calls:
28.0ms
(- (fma (/ y t) z x) (/ x (/ t z)))
0.0ms
(fma (/ y t) z x)
9.0ms
(/ x (/ t z))

series80.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- (fma (/ y t) z x) (/ x (/ t z)))
34.0ms
(fma (/ y t) z x)
19.0ms
(/ x (/ t z))

simplify70.0ms

Algorithm
egg-herbie
Counts
245 → 245
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012665557
150013959

prune474.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes131.0ms

Accuracy

11.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.8b

bsearch78.0ms

Steps
ItersRangePoint
9
8.65486754777705e-106
6.250239831144588e-101
5.800727818947734e-101
10
-2.826339829632453e-59
-4.4585876412666756e-69
-4.325591509926424e-60

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample617.0ms

Algorithm
intervals
Results
258.0ms10733×body80valid