Details

Time bar (total: 2.3s)

sample22.0ms

Algorithm
intervals
Results
12.0ms267×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.1b
(/ x (- y (* z t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- y (* z t))
38.0ms
(/ x (- y (* z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune134.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.1b

localize7.0ms

Local error

Found 1 expressions with local error:

3.1b
(/ (- x) (fma t z (- y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
4×neg-mul-1
3×add-exp-log associate-/r* add-cbrt-cube
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u frac-2neg div-sub distribute-frac-neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
4.0ms
(/ (- x) (fma t z (- y)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (- x) (fma t z (- y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0181470
1581454
21592451
35001450

prune169.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (fma t z (- y)) (- x)))
3.2b
(/ (fma t z (- y)) (- x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×distribute-lft-neg-in distribute-rgt-neg-in
44×associate-/r*
16×neg-mul-1
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 219
Calls
2 calls:
10.0ms
(/ 1 (/ (fma t z (- y)) (- x)))
4.0ms
(/ (fma t z (- y)) (- x))

series118.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ 1 (/ (fma t z (- y)) (- x)))
63.0ms
(/ (fma t z (- y)) (- x))

simplify79.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06262301
127812082
250011859

prune384.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (fma t z (- y)))
3.1b
(* (/ 1 (fma t z (- y))) (- x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
15×add-exp-log
13×associate-*l*
10×associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×neg-mul-1 pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out inv-pow
Counts
2 → 78
Calls
2 calls:
2.0ms
(/ 1 (fma t z (- y)))
12.0ms
(* (/ 1 (fma t z (- y))) (- x))

series83.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1 (fma t z (- y)))
56.0ms
(* (/ 1 (fma t z (- y))) (- x))

simplify80.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0259489
11110431
23180402
35001395

prune175.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.1b

regimes203.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample585.0ms

Algorithm
intervals
Results
370.0ms8384×body80valid