Details

Time bar (total: 4.0s)

sample22.0ms

Algorithm
intervals
Results
9.0ms275×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (25.0ms)

IterNodesCost
0256
1586
21106
31986
44116
58636
612295
716985
823045
925085
1025105
1125105

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
2.0b
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
8×distribute-lft-out
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out--
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
18.0ms
(/ a (+ (- t z) 1.0))
0.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series202.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ a (+ (- t z) 1.0))
162.0ms
(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify87.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0209330
1714301
23086297
35001297

prune152.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
8.8b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 179
Calls
2 calls:
33.0ms
(/ (+ (- t z) 1.0) a)
28.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series171.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ (- t z) 1.0) a)
136.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify79.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06391777
124681714
250011713

prune411.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 106
Calls
2 calls:
25.0ms
(/ (- y z) (+ (- t z) 1.0))
55.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series218.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (- y z) (+ (- t z) 1.0))
157.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0388776
11314719
25002715

prune260.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y z)) (cbrt (- y z)))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
20.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))

series700.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
176.0ms
(cbrt (- y z))
185.0ms
(cbrt (- y z))
179.0ms
(cbrt (- y z))

simplify177.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (167.0ms)

IterNodesCost
0270790
1950753
24626700
35001694

prune459.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample546.0ms

Algorithm
intervals
Results
296.0ms8471×body80valid