Details

Time bar (total: 5.2s)

sample19.0ms

Algorithm
intervals
Results
6.0ms270×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.3b
(/ x (* (- y z) (- t z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
35.0ms
(* (- y z) (- t z))
16.0ms
(/ x (* (- y z) (- t z)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- y z) (- t z))
108.0ms
(/ x (* (- y z) (- t z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0384705
11834535
25002528

prune167.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.5b
(/ (/ x (- y z)) (- t z))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
11.0ms
(/ x (- y z))
29.0ms
(/ (/ x (- y z)) (- t z))

series134.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ x (- y z))
110.0ms
(/ (/ x (- y z)) (- t z))

simplify66.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06441751
123221707
250011707

prune392.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.9b
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
296×times-frac
246×add-sqr-sqrt
215×*-un-lft-identity
156×associate-*r*
115×add-cube-cbrt
93×cbrt-prod
82×add-exp-log
48×distribute-lft-out-- difference-of-squares
33×div-exp
31×add-cbrt-cube
30×prod-exp
28×cbrt-div
20×associate-/r/
15×cbrt-undiv flip3-- associate-*l* flip--
12×cbrt-unprod unswap-sqr
7×div-inv
6×pow1 rec-exp 1-exp
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 278
Calls
4 calls:
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
5.0ms
(cbrt (- y z))
204.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(cbrt (- y z))
125.0ms
(cbrt (- y z))
132.0ms
(cbrt (- y z))
189.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
290 → 290
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015223792
150023514

prune777.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.4b
(/ 1 (/ (- t z) (/ x (- y z))))
1.5b
(/ (- t z) (/ x (- y z)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
1260×times-frac
844×add-sqr-sqrt *-un-lft-identity
468×add-cube-cbrt
188×distribute-lft-out-- difference-of-squares
136×associate-/r*
60×associate-/r/
33×div-inv
31×add-exp-log
28×flip3-- flip--
19×div-exp add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 660
Calls
3 calls:
12.0ms
(/ x (- y z))
41.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
31.0ms
(/ (- t z) (/ x (- y z)))

series282.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ x (- y z))
206.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
48.0ms
(/ (- t z) (/ x (- y z)))

simplify110.0ms

Algorithm
egg-herbie
Counts
669 → 669
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
018737902
150017523

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084

end0.0ms

sample521.0ms

Algorithm
intervals
Results
202.0ms8464×body80valid