Details

Time bar (total: 4.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms336×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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
6.1b
(/ (* (- y x) z) t)

rewrite12.0ms

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:
4.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(/ (* (- y x) z) t)

series80.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (/ (* (- y x) z) t))
42.0ms
(/ (* (- y x) z) t)

simplify30.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0241243
1908207
25001202

prune105.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.7b
(/ (- y x) (/ t z))

rewrite48.0ms

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:
27.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

series77.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (/ (- y x) (/ t z)))
43.0ms
(/ (- y x) (/ t z))

simplify63.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0618976
12232923
25001920

prune279.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.6b
(/ (- y x) (/ (cbrt t) z))
3.5b
(* (/ 1 (* (cbrt t) (cbrt t))) (/ (- y x) (/ (cbrt t) z)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
444×times-frac
322×add-sqr-sqrt
291×*-un-lft-identity
197×add-cube-cbrt
115×associate-*r*
108×cbrt-prod
87×add-exp-log
45×distribute-lft-out-- difference-of-squares
36×div-exp
35×add-cbrt-cube
30×prod-exp
22×associate-/r*
18×cbrt-undiv
14×div-inv
12×cbrt-unprod unswap-sqr
7×associate-*l*
6×pow1 rec-exp 1-exp
5×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-/r/ associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 361
Calls
4 calls:
3.0ms
(cbrt t)
0.0ms
(cbrt t)
13.0ms
(/ (- y x) (/ (cbrt t) z))
73.0ms
(* (/ 1 (* (cbrt t) (cbrt t))) (/ (- y x) (/ (cbrt t) z)))

series635.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt t)
180.0ms
(cbrt t)
179.0ms
(/ (- y x) (/ (cbrt t) z))
85.0ms
(* (/ 1 (* (cbrt t) (cbrt t))) (/ (- y x) (/ (cbrt t) z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
373 → 373
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015763966
150023505

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ y t) z x) (/ x (/ t z)))
3.4b
(/ x (/ t z))
4.4b
(fma (/ y t) z x)

rewrite42.0ms

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:
22.0ms
(- (fma (/ y t) z x) (/ x (/ t z)))
5.0ms
(/ x (/ t z))
0.0ms
(fma (/ y t) z x)

series90.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- (fma (/ y t) z x) (/ x (/ t z)))
20.0ms
(/ x (/ t z))
42.0ms
(fma (/ y t) z x)

simplify67.0ms

Algorithm
egg-herbie
Counts
245 → 245
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012665557
150013959

prune683.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes148.0ms

Accuracy

44.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12316

end0.0ms

sample542.0ms

Algorithm
intervals
Results
274.0ms10586×body80valid