Details

Time bar (total: 2.4s)

sample24.0ms

Algorithm
intervals
Results
13.0ms340×body80valid

simplify110.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
5.6b
(fma (/ (- y x) t) z x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
8.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series58.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- y x) t)
33.0ms
(fma (/ (- y x) t) z x)

simplify45.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0194271
1528254
21881245
35002245

prune128.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (- y x) (/ 1 t))
5.6b
(fma (* (- y x) (/ 1 t)) z x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
15.0ms
(* (- y x) (/ 1 t))
0.0ms
(fma (* (- y x) (/ 1 t)) z x)

series59.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (- y x) (/ 1 t))
35.0ms
(fma (* (- y x) (/ 1 t)) z x)

simplify33.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0277304
11127260
25001239

prune133.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* x z) t))
1.2b
(fma (/ z t) y (- x (/ (* x z) t)))
5.6b
(/ (* x z) t)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity prod-diff
19×add-cube-cbrt
12×times-frac
8×add-exp-log add-cbrt-cube
5×add-log-exp
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num flip-- cbrt-unprod fma-udef associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 73
Calls
3 calls:
6.0ms
(- x (/ (* x z) t))
0.0ms
(fma (/ z t) y (- x (/ (* x z) t)))
3.0ms
(/ (* x z) t)

series83.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- x (/ (* x z) t))
32.0ms
(fma (/ z t) y (- x (/ (* x z) t)))
19.0ms
(/ (* x z) t)

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0323706
11341498
25001494

prune167.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ x (/ t z)))
1.2b
(fma (/ z t) y (- x (/ x (/ t z))))
4.5b
(/ x (/ t z))

rewrite45.0ms

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
1×sub-neg flip3-- frac-2neg diff-log clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 235
Calls
3 calls:
24.0ms
(- x (/ x (/ t z)))
0.0ms
(fma (/ z t) y (- x (/ x (/ t z))))
5.0ms
(/ x (/ t z))

series85.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- x (/ x (/ t z)))
35.0ms
(fma (/ z t) y (- x (/ x (/ t z))))
20.0ms
(/ x (/ t z))

simplify61.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012605019
150013384

prune473.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

46.2% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02822
12822

end0.0ms

sample670.0ms

Algorithm
intervals
Results
411.0ms10596×body80valid